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Finding the Fourth Proportional to 5,649.78, 8,473.32 and 1,952.14

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Solution

The fourth proportional to 5,649.78, 8,473.32 and 1,952.14 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.78 : 8,473.32 = 1,952.14 : x
  2. Step 2: Convert to fraction form
    5,649.78/8,473.32 = 1,952.14/x
  3. Step 3: Cross multiply
    5,649.78x = 8,473.32 × 1,952.14
  4. Step 4: Simplify right side
    5,649.78x = 16,541,106.90
  5. Step 5: Solve for x
    x = 16,541,106.90/5,649.78
  6. Step 6: Final answer
    x = 2,927.74

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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.