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Finding the Fourth Proportional to 4,664.78, 7,002.30 and 2,472.92

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Solution

The fourth proportional to 4,664.78, 7,002.30 and 2,472.92 is: 3,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.78 : 7,002.30 = 2,472.92 : x
  2. Step 2: Convert to fraction form
    4,664.78/7,002.30 = 2,472.92/x
  3. Step 3: Cross multiply
    4,664.78x = 7,002.30 × 2,472.92
  4. Step 4: Simplify right side
    4,664.78x = 17,316,127.72
  5. Step 5: Solve for x
    x = 17,316,127.72/4,664.78
  6. Step 6: Final answer
    x = 3,712.10

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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.