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Finding the Fourth Proportional to 5,690.67, 7,852.56 and 3,452.42

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Solution

The fourth proportional to 5,690.67, 7,852.56 and 3,452.42 is: 4,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.67 : 7,852.56 = 3,452.42 : x
  2. Step 2: Convert to fraction form
    5,690.67/7,852.56 = 3,452.42/x
  3. Step 3: Cross multiply
    5,690.67x = 7,852.56 × 3,452.42
  4. Step 4: Simplify right side
    5,690.67x = 27,110,317.13
  5. Step 5: Solve for x
    x = 27,110,317.13/5,690.67
  6. Step 6: Final answer
    x = 4,763.99

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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.