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Finding the Fourth Proportional to 3,792.02, 5,686.92 and 1,326.38

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Solution

The fourth proportional to 3,792.02, 5,686.92 and 1,326.38 is: 1,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.02 : 5,686.92 = 1,326.38 : x
  2. Step 2: Convert to fraction form
    3,792.02/5,686.92 = 1,326.38/x
  3. Step 3: Cross multiply
    3,792.02x = 5,686.92 × 1,326.38
  4. Step 4: Simplify right side
    3,792.02x = 7,543,031.17
  5. Step 5: Solve for x
    x = 7,543,031.17/3,792.02
  6. Step 6: Final answer
    x = 1,989.18

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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.