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Finding the Fourth Proportional to 5,285.24, 7,884.82 and 4,856.65

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Solution

The fourth proportional to 5,285.24, 7,884.82 and 4,856.65 is: 7,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.24 : 7,884.82 = 4,856.65 : x
  2. Step 2: Convert to fraction form
    5,285.24/7,884.82 = 4,856.65/x
  3. Step 3: Cross multiply
    5,285.24x = 7,884.82 × 4,856.65
  4. Step 4: Simplify right side
    5,285.24x = 38,293,811.05
  5. Step 5: Solve for x
    x = 38,293,811.05/5,285.24
  6. Step 6: Final answer
    x = 7,245.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.