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Finding the Fourth Proportional to 3,591.08, 5,382 and 3,498.80

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Solution

The fourth proportional to 3,591.08, 5,382 and 3,498.80 is: 5,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.08 : 5,382 = 3,498.80 : x
  2. Step 2: Convert to fraction form
    3,591.08/5,382 = 3,498.80/x
  3. Step 3: Cross multiply
    3,591.08x = 5,382 × 3,498.80
  4. Step 4: Simplify right side
    3,591.08x = 18,830,541.60
  5. Step 5: Solve for x
    x = 18,830,541.60/3,591.08
  6. Step 6: Final answer
    x = 5,243.70

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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.