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Finding the Fourth Proportional to 3,541.90, 5,308.23 and 1,459.53

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Solution

The fourth proportional to 3,541.90, 5,308.23 and 1,459.53 is: 2,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.90 : 5,308.23 = 1,459.53 : x
  2. Step 2: Convert to fraction form
    3,541.90/5,308.23 = 1,459.53/x
  3. Step 3: Cross multiply
    3,541.90x = 5,308.23 × 1,459.53
  4. Step 4: Simplify right side
    3,541.90x = 7,747,520.93
  5. Step 5: Solve for x
    x = 7,747,520.93/3,541.90
  6. Step 6: Final answer
    x = 2,187.39

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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.