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Finding the Fourth Proportional to 5,767.38, 8,649.24 and 1,870.86

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Solution

The fourth proportional to 5,767.38, 8,649.24 and 1,870.86 is: 2,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.38 : 8,649.24 = 1,870.86 : x
  2. Step 2: Convert to fraction form
    5,767.38/8,649.24 = 1,870.86/x
  3. Step 3: Cross multiply
    5,767.38x = 8,649.24 × 1,870.86
  4. Step 4: Simplify right side
    5,767.38x = 16,181,517.15
  5. Step 5: Solve for x
    x = 16,181,517.15/5,767.38
  6. Step 6: Final answer
    x = 2,805.70

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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.