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Finding the Fourth Proportional to 4,654,752.96, 6,982,059.36 and 2,094,159.69

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Solution

The fourth proportional to 4,654,752.96, 6,982,059.36 and 2,094,159.69 is: 3,141,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,752.96 : 6,982,059.36 = 2,094,159.69 : x
  2. Step 2: Convert to fraction form
    4,654,752.96/6,982,059.36 = 2,094,159.69/x
  3. Step 3: Cross multiply
    4,654,752.96x = 6,982,059.36 × 2,094,159.69
  4. Step 4: Simplify right side
    4,654,752.96x = 14,621,547,264,899.20
  5. Step 5: Solve for x
    x = 14,621,547,264,899.20/4,654,752.96
  6. Step 6: Final answer
    x = 3,141,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.