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Finding the Fourth Proportional to 5,514.95, 8,272.14 and 1,354.71

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Solution

The fourth proportional to 5,514.95, 8,272.14 and 1,354.71 is: 2,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.95 : 8,272.14 = 1,354.71 : x
  2. Step 2: Convert to fraction form
    5,514.95/8,272.14 = 1,354.71/x
  3. Step 3: Cross multiply
    5,514.95x = 8,272.14 × 1,354.71
  4. Step 4: Simplify right side
    5,514.95x = 11,206,350.78
  5. Step 5: Solve for x
    x = 11,206,350.78/5,514.95
  6. Step 6: Final answer
    x = 2,032.00

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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.