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Finding the Fourth Proportional to 3,854.82, 5,785.50 and 1,516.46

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Solution

The fourth proportional to 3,854.82, 5,785.50 and 1,516.46 is: 2,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.82 : 5,785.50 = 1,516.46 : x
  2. Step 2: Convert to fraction form
    3,854.82/5,785.50 = 1,516.46/x
  3. Step 3: Cross multiply
    3,854.82x = 5,785.50 × 1,516.46
  4. Step 4: Simplify right side
    3,854.82x = 8,773,479.33
  5. Step 5: Solve for x
    x = 8,773,479.33/3,854.82
  6. Step 6: Final answer
    x = 2,275.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.