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Finding the Fourth Proportional to 5,781.20, 8,671.80 and 5,416.70

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Solution

The fourth proportional to 5,781.20, 8,671.80 and 5,416.70 is: 8,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.20 : 8,671.80 = 5,416.70 : x
  2. Step 2: Convert to fraction form
    5,781.20/8,671.80 = 5,416.70/x
  3. Step 3: Cross multiply
    5,781.20x = 8,671.80 × 5,416.70
  4. Step 4: Simplify right side
    5,781.20x = 46,972,539.06
  5. Step 5: Solve for x
    x = 46,972,539.06/5,781.20
  6. Step 6: Final answer
    x = 8,125.05

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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.