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Finding the Fourth Proportional to 3,932.92, 5,868.70 and 3,583.60

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Solution

The fourth proportional to 3,932.92, 5,868.70 and 3,583.60 is: 5,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.92 : 5,868.70 = 3,583.60 : x
  2. Step 2: Convert to fraction form
    3,932.92/5,868.70 = 3,583.60/x
  3. Step 3: Cross multiply
    3,932.92x = 5,868.70 × 3,583.60
  4. Step 4: Simplify right side
    3,932.92x = 21,031,073.32
  5. Step 5: Solve for x
    x = 21,031,073.32/3,932.92
  6. Step 6: Final answer
    x = 5,347.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.