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Finding the Fourth Proportional to 3,472.64, 5,210.88 and 2,497.28

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Solution

The fourth proportional to 3,472.64, 5,210.88 and 2,497.28 is: 3,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 5,210.88 = 2,497.28 : x
  2. Step 2: Convert to fraction form
    3,472.64/5,210.88 = 2,497.28/x
  3. Step 3: Cross multiply
    3,472.64x = 5,210.88 × 2,497.28
  4. Step 4: Simplify right side
    3,472.64x = 13,013,026.41
  5. Step 5: Solve for x
    x = 13,013,026.41/3,472.64
  6. Step 6: Final answer
    x = 3,747.30

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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.