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Finding the Fourth Proportional to 5,649.18, 8,474.40 and 1,951.74

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Solution

The fourth proportional to 5,649.18, 8,474.40 and 1,951.74 is: 2,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.18 : 8,474.40 = 1,951.74 : x
  2. Step 2: Convert to fraction form
    5,649.18/8,474.40 = 1,951.74/x
  3. Step 3: Cross multiply
    5,649.18x = 8,474.40 × 1,951.74
  4. Step 4: Simplify right side
    5,649.18x = 16,539,825.46
  5. Step 5: Solve for x
    x = 16,539,825.46/5,649.18
  6. Step 6: Final answer
    x = 2,927.83

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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.