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Finding the Fourth Proportional to 5,354.88, 8,031.40 and 1,459.29

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Solution

The fourth proportional to 5,354.88, 8,031.40 and 1,459.29 is: 2,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.88 : 8,031.40 = 1,459.29 : x
  2. Step 2: Convert to fraction form
    5,354.88/8,031.40 = 1,459.29/x
  3. Step 3: Cross multiply
    5,354.88x = 8,031.40 × 1,459.29
  4. Step 4: Simplify right side
    5,354.88x = 11,720,141.71
  5. Step 5: Solve for x
    x = 11,720,141.71/5,354.88
  6. Step 6: Final answer
    x = 2,188.68

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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.