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Finding the Fourth Proportional to 3,564.92, 4,921.50 and 2,388

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Solution

The fourth proportional to 3,564.92, 4,921.50 and 2,388 is: 3,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.92 : 4,921.50 = 2,388 : x
  2. Step 2: Convert to fraction form
    3,564.92/4,921.50 = 2,388/x
  3. Step 3: Cross multiply
    3,564.92x = 4,921.50 × 2,388
  4. Step 4: Simplify right side
    3,564.92x = 11,752,542
  5. Step 5: Solve for x
    x = 11,752,542/3,564.92
  6. Step 6: Final answer
    x = 3,296.72

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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.