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Finding the Fourth Proportional to 5,989.86, 8,977.50 and 2,702.07

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Solution

The fourth proportional to 5,989.86, 8,977.50 and 2,702.07 is: 4,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.86 : 8,977.50 = 2,702.07 : x
  2. Step 2: Convert to fraction form
    5,989.86/8,977.50 = 2,702.07/x
  3. Step 3: Cross multiply
    5,989.86x = 8,977.50 × 2,702.07
  4. Step 4: Simplify right side
    5,989.86x = 24,257,833.43
  5. Step 5: Solve for x
    x = 24,257,833.43/5,989.86
  6. Step 6: Final answer
    x = 4,049.82

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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.