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Finding the Fourth Proportional to 5,459.28, 8,188.92 and 2,536

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Solution

The fourth proportional to 5,459.28, 8,188.92 and 2,536 is: 3,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.28 : 8,188.92 = 2,536 : x
  2. Step 2: Convert to fraction form
    5,459.28/8,188.92 = 2,536/x
  3. Step 3: Cross multiply
    5,459.28x = 8,188.92 × 2,536
  4. Step 4: Simplify right side
    5,459.28x = 20,767,101.12
  5. Step 5: Solve for x
    x = 20,767,101.12/5,459.28
  6. Step 6: Final answer
    x = 3,804.00

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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.