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Finding the Fourth Proportional to 4,809.63, 7,209.04 and 3,146.94

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Solution

The fourth proportional to 4,809.63, 7,209.04 and 3,146.94 is: 4,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.63 : 7,209.04 = 3,146.94 : x
  2. Step 2: Convert to fraction form
    4,809.63/7,209.04 = 3,146.94/x
  3. Step 3: Cross multiply
    4,809.63x = 7,209.04 × 3,146.94
  4. Step 4: Simplify right side
    4,809.63x = 22,686,443.50
  5. Step 5: Solve for x
    x = 22,686,443.50/4,809.63
  6. Step 6: Final answer
    x = 4,716.88

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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.