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Finding the Fourth Proportional to 5,864.46, 8,798.04 and 1,968.90

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Solution

The fourth proportional to 5,864.46, 8,798.04 and 1,968.90 is: 2,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.46 : 8,798.04 = 1,968.90 : x
  2. Step 2: Convert to fraction form
    5,864.46/8,798.04 = 1,968.90/x
  3. Step 3: Cross multiply
    5,864.46x = 8,798.04 × 1,968.90
  4. Step 4: Simplify right side
    5,864.46x = 17,322,460.96
  5. Step 5: Solve for x
    x = 17,322,460.96/5,864.46
  6. Step 6: Final answer
    x = 2,953.80

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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.