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Finding the Fourth Proportional to 5,355.32, 8,031.90 and 1,459.40

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Solution

The fourth proportional to 5,355.32, 8,031.90 and 1,459.40 is: 2,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.32 : 8,031.90 = 1,459.40 : x
  2. Step 2: Convert to fraction form
    5,355.32/8,031.90 = 1,459.40/x
  3. Step 3: Cross multiply
    5,355.32x = 8,031.90 × 1,459.40
  4. Step 4: Simplify right side
    5,355.32x = 11,721,754.86
  5. Step 5: Solve for x
    x = 11,721,754.86/5,355.32
  6. Step 6: Final answer
    x = 2,188.81

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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.