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Finding the Fourth Proportional to 5,690.40, 7,854.68 and 3,452.24

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Solution

The fourth proportional to 5,690.40, 7,854.68 and 3,452.24 is: 4,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.40 : 7,854.68 = 3,452.24 : x
  2. Step 2: Convert to fraction form
    5,690.40/7,854.68 = 3,452.24/x
  3. Step 3: Cross multiply
    5,690.40x = 7,854.68 × 3,452.24
  4. Step 4: Simplify right side
    5,690.40x = 27,116,240.48
  5. Step 5: Solve for x
    x = 27,116,240.48/5,690.40
  6. Step 6: Final answer
    x = 4,765.26

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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.