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Finding the Fourth Proportional to 5,077.89, 7,612.65 and 2,305.87

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Solution

The fourth proportional to 5,077.89, 7,612.65 and 2,305.87 is: 3,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.89 : 7,612.65 = 2,305.87 : x
  2. Step 2: Convert to fraction form
    5,077.89/7,612.65 = 2,305.87/x
  3. Step 3: Cross multiply
    5,077.89x = 7,612.65 × 2,305.87
  4. Step 4: Simplify right side
    5,077.89x = 17,553,762.22
  5. Step 5: Solve for x
    x = 17,553,762.22/5,077.89
  6. Step 6: Final answer
    x = 3,456.90

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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.