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Finding the Fourth Proportional to 5,789.31, 7,989.63 and 5,580.18

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Solution

The fourth proportional to 5,789.31, 7,989.63 and 5,580.18 is: 7,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.31 : 7,989.63 = 5,580.18 : x
  2. Step 2: Convert to fraction form
    5,789.31/7,989.63 = 5,580.18/x
  3. Step 3: Cross multiply
    5,789.31x = 7,989.63 × 5,580.18
  4. Step 4: Simplify right side
    5,789.31x = 44,583,573.53
  5. Step 5: Solve for x
    x = 44,583,573.53/5,789.31
  6. Step 6: Final answer
    x = 7,701.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.