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Finding the Fourth Proportional to 4,712.46, 6,497.47 and 4,073.24

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Solution

The fourth proportional to 4,712.46, 6,497.47 and 4,073.24 is: 5,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.46 : 6,497.47 = 4,073.24 : x
  2. Step 2: Convert to fraction form
    4,712.46/6,497.47 = 4,073.24/x
  3. Step 3: Cross multiply
    4,712.46x = 6,497.47 × 4,073.24
  4. Step 4: Simplify right side
    4,712.46x = 26,465,754.70
  5. Step 5: Solve for x
    x = 26,465,754.70/4,712.46
  6. Step 6: Final answer
    x = 5,616.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.