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Finding the Fourth Proportional to 4,110.48, 5,672.16 and 2,538

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Solution

The fourth proportional to 4,110.48, 5,672.16 and 2,538 is: 3,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.48 : 5,672.16 = 2,538 : x
  2. Step 2: Convert to fraction form
    4,110.48/5,672.16 = 2,538/x
  3. Step 3: Cross multiply
    4,110.48x = 5,672.16 × 2,538
  4. Step 4: Simplify right side
    4,110.48x = 14,395,942.08
  5. Step 5: Solve for x
    x = 14,395,942.08/4,110.48
  6. Step 6: Final answer
    x = 3,502.25

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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.