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Finding the Fourth Proportional to 5,235.24, 7,854.78 and 2,155.56

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Solution

The fourth proportional to 5,235.24, 7,854.78 and 2,155.56 is: 3,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.24 : 7,854.78 = 2,155.56 : x
  2. Step 2: Convert to fraction form
    5,235.24/7,854.78 = 2,155.56/x
  3. Step 3: Cross multiply
    5,235.24x = 7,854.78 × 2,155.56
  4. Step 4: Simplify right side
    5,235.24x = 16,931,449.58
  5. Step 5: Solve for x
    x = 16,931,449.58/5,235.24
  6. Step 6: Final answer
    x = 3,234.13

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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.