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Finding the Fourth Proportional to 5,235.75, 7,854.81 and 2,462.46

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Solution

The fourth proportional to 5,235.75, 7,854.81 and 2,462.46 is: 3,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.75 : 7,854.81 = 2,462.46 : x
  2. Step 2: Convert to fraction form
    5,235.75/7,854.81 = 2,462.46/x
  3. Step 3: Cross multiply
    5,235.75x = 7,854.81 × 2,462.46
  4. Step 4: Simplify right side
    5,235.75x = 19,342,155.43
  5. Step 5: Solve for x
    x = 19,342,155.43/5,235.75
  6. Step 6: Final answer
    x = 3,694.25

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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.