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Finding the Fourth Proportional to 5,006.52, 6,909.84 and 2,911.86

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Solution

The fourth proportional to 5,006.52, 6,909.84 and 2,911.86 is: 4,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.52 : 6,909.84 = 2,911.86 : x
  2. Step 2: Convert to fraction form
    5,006.52/6,909.84 = 2,911.86/x
  3. Step 3: Cross multiply
    5,006.52x = 6,909.84 × 2,911.86
  4. Step 4: Simplify right side
    5,006.52x = 20,120,486.70
  5. Step 5: Solve for x
    x = 20,120,486.70/5,006.52
  6. Step 6: Final answer
    x = 4,018.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.