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Finding the Fourth Proportional to 7,085.58, 9,778.20 and 3,899.04

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Solution

The fourth proportional to 7,085.58, 9,778.20 and 3,899.04 is: 5,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.58 : 9,778.20 = 3,899.04 : x
  2. Step 2: Convert to fraction form
    7,085.58/9,778.20 = 3,899.04/x
  3. Step 3: Cross multiply
    7,085.58x = 9,778.20 × 3,899.04
  4. Step 4: Simplify right side
    7,085.58x = 38,125,592.93
  5. Step 5: Solve for x
    x = 38,125,592.93/7,085.58
  6. Step 6: Final answer
    x = 5,380.73

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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.