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Finding the Fourth Proportional to 5,648.10, 7,793.62 and 3,258.16

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Solution

The fourth proportional to 5,648.10, 7,793.62 and 3,258.16 is: 4,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.10 : 7,793.62 = 3,258.16 : x
  2. Step 2: Convert to fraction form
    5,648.10/7,793.62 = 3,258.16/x
  3. Step 3: Cross multiply
    5,648.10x = 7,793.62 × 3,258.16
  4. Step 4: Simplify right side
    5,648.10x = 25,392,833.31
  5. Step 5: Solve for x
    x = 25,392,833.31/5,648.10
  6. Step 6: Final answer
    x = 4,495.82

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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.