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Finding the Fourth Proportional to 5,755.68, 8,623.80 and 4,599

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Solution

The fourth proportional to 5,755.68, 8,623.80 and 4,599 is: 6,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.68 : 8,623.80 = 4,599 : x
  2. Step 2: Convert to fraction form
    5,755.68/8,623.80 = 4,599/x
  3. Step 3: Cross multiply
    5,755.68x = 8,623.80 × 4,599
  4. Step 4: Simplify right side
    5,755.68x = 39,660,856.20
  5. Step 5: Solve for x
    x = 39,660,856.20/5,755.68
  6. Step 6: Final answer
    x = 6,890.73

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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.