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Finding the Fourth Proportional to 5,641.08, 7,785.42 and 3,157.56

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Solution

The fourth proportional to 5,641.08, 7,785.42 and 3,157.56 is: 4,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.08 : 7,785.42 = 3,157.56 : x
  2. Step 2: Convert to fraction form
    5,641.08/7,785.42 = 3,157.56/x
  3. Step 3: Cross multiply
    5,641.08x = 7,785.42 × 3,157.56
  4. Step 4: Simplify right side
    5,641.08x = 24,582,930.78
  5. Step 5: Solve for x
    x = 24,582,930.78/5,641.08
  6. Step 6: Final answer
    x = 4,357.84

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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.