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Finding the Fourth Proportional to 5,647.81, 7,794.29 and 3,130.20

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Solution

The fourth proportional to 5,647.81, 7,794.29 and 3,130.20 is: 4,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.81 : 7,794.29 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    5,647.81/7,794.29 = 3,130.20/x
  3. Step 3: Cross multiply
    5,647.81x = 7,794.29 × 3,130.20
  4. Step 4: Simplify right side
    5,647.81x = 24,397,686.56
  5. Step 5: Solve for x
    x = 24,397,686.56/5,647.81
  6. Step 6: Final answer
    x = 4,319.85

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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.