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Finding the Fourth Proportional to 3,957.48, 5,934.24 and 1,324.07

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Solution

The fourth proportional to 3,957.48, 5,934.24 and 1,324.07 is: 1,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.48 : 5,934.24 = 1,324.07 : x
  2. Step 2: Convert to fraction form
    3,957.48/5,934.24 = 1,324.07/x
  3. Step 3: Cross multiply
    3,957.48x = 5,934.24 × 1,324.07
  4. Step 4: Simplify right side
    3,957.48x = 7,857,349.16
  5. Step 5: Solve for x
    x = 7,857,349.16/3,957.48
  6. Step 6: Final answer
    x = 1,985.44

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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.