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Finding the Fourth Proportional to 5,459.67, 8,188.29 and 1,563.17

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Solution

The fourth proportional to 5,459.67, 8,188.29 and 1,563.17 is: 2,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.67 : 8,188.29 = 1,563.17 : x
  2. Step 2: Convert to fraction form
    5,459.67/8,188.29 = 1,563.17/x
  3. Step 3: Cross multiply
    5,459.67x = 8,188.29 × 1,563.17
  4. Step 4: Simplify right side
    5,459.67x = 12,799,648.34
  5. Step 5: Solve for x
    x = 12,799,648.34/5,459.67
  6. Step 6: Final answer
    x = 2,344.40

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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.