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Finding the Fourth Proportional to 6,854.44, 9,458.66 and 3,870.40

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Solution

The fourth proportional to 6,854.44, 9,458.66 and 3,870.40 is: 5,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.44 : 9,458.66 = 3,870.40 : x
  2. Step 2: Convert to fraction form
    6,854.44/9,458.66 = 3,870.40/x
  3. Step 3: Cross multiply
    6,854.44x = 9,458.66 × 3,870.40
  4. Step 4: Simplify right side
    6,854.44x = 36,608,797.66
  5. Step 5: Solve for x
    x = 36,608,797.66/6,854.44
  6. Step 6: Final answer
    x = 5,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.