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Finding the Fourth Proportional to 4,238.88, 5,832.24 and 4,140.72

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Solution

The fourth proportional to 4,238.88, 5,832.24 and 4,140.72 is: 5,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.88 : 5,832.24 = 4,140.72 : x
  2. Step 2: Convert to fraction form
    4,238.88/5,832.24 = 4,140.72/x
  3. Step 3: Cross multiply
    4,238.88x = 5,832.24 × 4,140.72
  4. Step 4: Simplify right side
    4,238.88x = 24,149,672.81
  5. Step 5: Solve for x
    x = 24,149,672.81/4,238.88
  6. Step 6: Final answer
    x = 5,697.18

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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.