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Finding the Fourth Proportional to 3,871.56, 5,337.60 and 3,077.53

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Solution

The fourth proportional to 3,871.56, 5,337.60 and 3,077.53 is: 4,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.56 : 5,337.60 = 3,077.53 : x
  2. Step 2: Convert to fraction form
    3,871.56/5,337.60 = 3,077.53/x
  3. Step 3: Cross multiply
    3,871.56x = 5,337.60 × 3,077.53
  4. Step 4: Simplify right side
    3,871.56x = 16,426,599.24
  5. Step 5: Solve for x
    x = 16,426,599.24/3,871.56
  6. Step 6: Final answer
    x = 4,242.88

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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.