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Finding the Fourth Proportional to 5,691.42, 7,859.12 and 3,570.60

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Solution

The fourth proportional to 5,691.42, 7,859.12 and 3,570.60 is: 4,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.42 : 7,859.12 = 3,570.60 : x
  2. Step 2: Convert to fraction form
    5,691.42/7,859.12 = 3,570.60/x
  3. Step 3: Cross multiply
    5,691.42x = 7,859.12 × 3,570.60
  4. Step 4: Simplify right side
    5,691.42x = 28,061,749.32
  5. Step 5: Solve for x
    x = 28,061,749.32/5,691.42
  6. Step 6: Final answer
    x = 4,930.53

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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.