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Finding the Fourth Proportional to 5,197.70, 7,796.55 and 3,124.10

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Solution

The fourth proportional to 5,197.70, 7,796.55 and 3,124.10 is: 4,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.70 : 7,796.55 = 3,124.10 : x
  2. Step 2: Convert to fraction form
    5,197.70/7,796.55 = 3,124.10/x
  3. Step 3: Cross multiply
    5,197.70x = 7,796.55 × 3,124.10
  4. Step 4: Simplify right side
    5,197.70x = 24,357,201.86
  5. Step 5: Solve for x
    x = 24,357,201.86/5,197.70
  6. Step 6: Final answer
    x = 4,686.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.