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Finding the Fourth Proportional to 5,479.02, 8,218.65 and 1,781.24

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Solution

The fourth proportional to 5,479.02, 8,218.65 and 1,781.24 is: 2,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.02 : 8,218.65 = 1,781.24 : x
  2. Step 2: Convert to fraction form
    5,479.02/8,218.65 = 1,781.24/x
  3. Step 3: Cross multiply
    5,479.02x = 8,218.65 × 1,781.24
  4. Step 4: Simplify right side
    5,479.02x = 14,639,347.03
  5. Step 5: Solve for x
    x = 14,639,347.03/5,479.02
  6. Step 6: Final answer
    x = 2,671.89

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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.