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Finding the Fourth Proportional to 3,712.90, 5,569.32 and 1,632.40

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Solution

The fourth proportional to 3,712.90, 5,569.32 and 1,632.40 is: 2,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.90 : 5,569.32 = 1,632.40 : x
  2. Step 2: Convert to fraction form
    3,712.90/5,569.32 = 1,632.40/x
  3. Step 3: Cross multiply
    3,712.90x = 5,569.32 × 1,632.40
  4. Step 4: Simplify right side
    3,712.90x = 9,091,357.97
  5. Step 5: Solve for x
    x = 9,091,357.97/3,712.90
  6. Step 6: Final answer
    x = 2,448.59

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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.