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Finding the Fourth Proportional to 5,097.12, 7,647.84 and 2,785.92

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Solution

The fourth proportional to 5,097.12, 7,647.84 and 2,785.92 is: 4,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.12 : 7,647.84 = 2,785.92 : x
  2. Step 2: Convert to fraction form
    5,097.12/7,647.84 = 2,785.92/x
  3. Step 3: Cross multiply
    5,097.12x = 7,647.84 × 2,785.92
  4. Step 4: Simplify right side
    5,097.12x = 21,306,270.41
  5. Step 5: Solve for x
    x = 21,306,270.41/5,097.12
  6. Step 6: Final answer
    x = 4,180.06

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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.