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Finding the Fourth Proportional to 3,930.18, 5,895.54 and 1,332.24

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Solution

The fourth proportional to 3,930.18, 5,895.54 and 1,332.24 is: 1,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.18 : 5,895.54 = 1,332.24 : x
  2. Step 2: Convert to fraction form
    3,930.18/5,895.54 = 1,332.24/x
  3. Step 3: Cross multiply
    3,930.18x = 5,895.54 × 1,332.24
  4. Step 4: Simplify right side
    3,930.18x = 7,854,274.21
  5. Step 5: Solve for x
    x = 7,854,274.21/3,930.18
  6. Step 6: Final answer
    x = 1,998.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.