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Finding the Fourth Proportional to 3,708.47, 5,569.07 and 3,292.94

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Solution

The fourth proportional to 3,708.47, 5,569.07 and 3,292.94 is: 4,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.47 : 5,569.07 = 3,292.94 : x
  2. Step 2: Convert to fraction form
    3,708.47/5,569.07 = 3,292.94/x
  3. Step 3: Cross multiply
    3,708.47x = 5,569.07 × 3,292.94
  4. Step 4: Simplify right side
    3,708.47x = 18,338,613.37
  5. Step 5: Solve for x
    x = 18,338,613.37/3,708.47
  6. Step 6: Final answer
    x = 4,945.06

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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.