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Finding the Fourth Proportional to 5,188.60, 7,763.46 and 2,881.72

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Solution

The fourth proportional to 5,188.60, 7,763.46 and 2,881.72 is: 4,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.60 : 7,763.46 = 2,881.72 : x
  2. Step 2: Convert to fraction form
    5,188.60/7,763.46 = 2,881.72/x
  3. Step 3: Cross multiply
    5,188.60x = 7,763.46 × 2,881.72
  4. Step 4: Simplify right side
    5,188.60x = 22,372,117.95
  5. Step 5: Solve for x
    x = 22,372,117.95/5,188.60
  6. Step 6: Final answer
    x = 4,311.78

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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.