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Finding the Fourth Proportional to 5,702.86, 8,551.76 and 2,582.74

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Solution

The fourth proportional to 5,702.86, 8,551.76 and 2,582.74 is: 3,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.86 : 8,551.76 = 2,582.74 : x
  2. Step 2: Convert to fraction form
    5,702.86/8,551.76 = 2,582.74/x
  3. Step 3: Cross multiply
    5,702.86x = 8,551.76 × 2,582.74
  4. Step 4: Simplify right side
    5,702.86x = 22,086,972.62
  5. Step 5: Solve for x
    x = 22,086,972.62/5,702.86
  6. Step 6: Final answer
    x = 3,872.96

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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.