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Finding the Fourth Proportional to 5,690.70, 7,851.84 and 3,452.13

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Solution

The fourth proportional to 5,690.70, 7,851.84 and 3,452.13 is: 4,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.70 : 7,851.84 = 3,452.13 : x
  2. Step 2: Convert to fraction form
    5,690.70/7,851.84 = 3,452.13/x
  3. Step 3: Cross multiply
    5,690.70x = 7,851.84 × 3,452.13
  4. Step 4: Simplify right side
    5,690.70x = 27,105,572.42
  5. Step 5: Solve for x
    x = 27,105,572.42/5,690.70
  6. Step 6: Final answer
    x = 4,763.14

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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.