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Finding the Fourth Proportional to 5,641.01, 7,785.39 and 3,283.91

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Solution

The fourth proportional to 5,641.01, 7,785.39 and 3,283.91 is: 4,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.01 : 7,785.39 = 3,283.91 : x
  2. Step 2: Convert to fraction form
    5,641.01/7,785.39 = 3,283.91/x
  3. Step 3: Cross multiply
    5,641.01x = 7,785.39 × 3,283.91
  4. Step 4: Simplify right side
    5,641.01x = 25,566,481.15
  5. Step 5: Solve for x
    x = 25,566,481.15/5,641.01
  6. Step 6: Final answer
    x = 4,532.26

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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.