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Finding the Fourth Proportional to 5,240.89, 7,859.88 and 2,077.81

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Solution

The fourth proportional to 5,240.89, 7,859.88 and 2,077.81 is: 3,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.89 : 7,859.88 = 2,077.81 : x
  2. Step 2: Convert to fraction form
    5,240.89/7,859.88 = 2,077.81/x
  3. Step 3: Cross multiply
    5,240.89x = 7,859.88 × 2,077.81
  4. Step 4: Simplify right side
    5,240.89x = 16,331,337.26
  5. Step 5: Solve for x
    x = 16,331,337.26/5,240.89
  6. Step 6: Final answer
    x = 3,116.14

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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.