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Finding the Fourth Proportional to 5,693.20, 7,857.17 and 3,454.90

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Solution

The fourth proportional to 5,693.20, 7,857.17 and 3,454.90 is: 4,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.20 : 7,857.17 = 3,454.90 : x
  2. Step 2: Convert to fraction form
    5,693.20/7,857.17 = 3,454.90/x
  3. Step 3: Cross multiply
    5,693.20x = 7,857.17 × 3,454.90
  4. Step 4: Simplify right side
    5,693.20x = 27,145,712.67
  5. Step 5: Solve for x
    x = 27,145,712.67/5,693.20
  6. Step 6: Final answer
    x = 4,768.10

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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.