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Finding the Fourth Proportional to 4,115.34, 5,641.05 and 4,059.96

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Solution

The fourth proportional to 4,115.34, 5,641.05 and 4,059.96 is: 5,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.34 : 5,641.05 = 4,059.96 : x
  2. Step 2: Convert to fraction form
    4,115.34/5,641.05 = 4,059.96/x
  3. Step 3: Cross multiply
    4,115.34x = 5,641.05 × 4,059.96
  4. Step 4: Simplify right side
    4,115.34x = 22,902,437.36
  5. Step 5: Solve for x
    x = 22,902,437.36/4,115.34
  6. Step 6: Final answer
    x = 5,565.14

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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.