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Finding the Fourth Proportional to 3,580.47, 5,370.92 and 1,115.64

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Solution

The fourth proportional to 3,580.47, 5,370.92 and 1,115.64 is: 1,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.47 : 5,370.92 = 1,115.64 : x
  2. Step 2: Convert to fraction form
    3,580.47/5,370.92 = 1,115.64/x
  3. Step 3: Cross multiply
    3,580.47x = 5,370.92 × 1,115.64
  4. Step 4: Simplify right side
    3,580.47x = 5,992,007.61
  5. Step 5: Solve for x
    x = 5,992,007.61/3,580.47
  6. Step 6: Final answer
    x = 1,673.53

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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.