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Finding the Fourth Proportional to 3,517.72, 5,269.13 and 2,281.45

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Solution

The fourth proportional to 3,517.72, 5,269.13 and 2,281.45 is: 3,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.72 : 5,269.13 = 2,281.45 : x
  2. Step 2: Convert to fraction form
    3,517.72/5,269.13 = 2,281.45/x
  3. Step 3: Cross multiply
    3,517.72x = 5,269.13 × 2,281.45
  4. Step 4: Simplify right side
    3,517.72x = 12,021,256.64
  5. Step 5: Solve for x
    x = 12,021,256.64/3,517.72
  6. Step 6: Final answer
    x = 3,417.34

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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.