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Finding the Fourth Proportional to 5,644.60, 7,785.66 and 3,969.52

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Solution

The fourth proportional to 5,644.60, 7,785.66 and 3,969.52 is: 5,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.60 : 7,785.66 = 3,969.52 : x
  2. Step 2: Convert to fraction form
    5,644.60/7,785.66 = 3,969.52/x
  3. Step 3: Cross multiply
    5,644.60x = 7,785.66 × 3,969.52
  4. Step 4: Simplify right side
    5,644.60x = 30,905,333.08
  5. Step 5: Solve for x
    x = 30,905,333.08/5,644.60
  6. Step 6: Final answer
    x = 5,475.20

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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.