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Finding the Fourth Proportional to 3,416.91, 5,125.36 and 1,566.80

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Solution

The fourth proportional to 3,416.91, 5,125.36 and 1,566.80 is: 2,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.91 : 5,125.36 = 1,566.80 : x
  2. Step 2: Convert to fraction form
    3,416.91/5,125.36 = 1,566.80/x
  3. Step 3: Cross multiply
    3,416.91x = 5,125.36 × 1,566.80
  4. Step 4: Simplify right side
    3,416.91x = 8,030,414.05
  5. Step 5: Solve for x
    x = 8,030,414.05/3,416.91
  6. Step 6: Final answer
    x = 2,350.20

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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.