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Finding the Fourth Proportional to 3,391.97, 5,088.12 and 1,053.57

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Solution

The fourth proportional to 3,391.97, 5,088.12 and 1,053.57 is: 1,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.97 : 5,088.12 = 1,053.57 : x
  2. Step 2: Convert to fraction form
    3,391.97/5,088.12 = 1,053.57/x
  3. Step 3: Cross multiply
    3,391.97x = 5,088.12 × 1,053.57
  4. Step 4: Simplify right side
    3,391.97x = 5,360,665.15
  5. Step 5: Solve for x
    x = 5,360,665.15/3,391.97
  6. Step 6: Final answer
    x = 1,580.40

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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.