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Finding the Fourth Proportional to 5,514.84, 8,288.04 and 5,141.40

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Solution

The fourth proportional to 5,514.84, 8,288.04 and 5,141.40 is: 7,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.84 : 8,288.04 = 5,141.40 : x
  2. Step 2: Convert to fraction form
    5,514.84/8,288.04 = 5,141.40/x
  3. Step 3: Cross multiply
    5,514.84x = 8,288.04 × 5,141.40
  4. Step 4: Simplify right side
    5,514.84x = 42,612,128.86
  5. Step 5: Solve for x
    x = 42,612,128.86/5,514.84
  6. Step 6: Final answer
    x = 7,726.81

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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.