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Finding the Fourth Proportional to 4,118.34, 5,645.16 and 4,062.96

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Solution

The fourth proportional to 4,118.34, 5,645.16 and 4,062.96 is: 5,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.34 : 5,645.16 = 4,062.96 : x
  2. Step 2: Convert to fraction form
    4,118.34/5,645.16 = 4,062.96/x
  3. Step 3: Cross multiply
    4,118.34x = 5,645.16 × 4,062.96
  4. Step 4: Simplify right side
    4,118.34x = 22,936,059.27
  5. Step 5: Solve for x
    x = 22,936,059.27/4,118.34
  6. Step 6: Final answer
    x = 5,569.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.