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Finding the Fourth Proportional to 4,077.84, 5,627.10 and 2,399.32

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Solution

The fourth proportional to 4,077.84, 5,627.10 and 2,399.32 is: 3,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 5,627.10 = 2,399.32 : x
  2. Step 2: Convert to fraction form
    4,077.84/5,627.10 = 2,399.32/x
  3. Step 3: Cross multiply
    4,077.84x = 5,627.10 × 2,399.32
  4. Step 4: Simplify right side
    4,077.84x = 13,501,213.57
  5. Step 5: Solve for x
    x = 13,501,213.57/4,077.84
  6. Step 6: Final answer
    x = 3,310.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.