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Finding the Fourth Proportional to 6,854.81, 9,458.62 and 3,870.58

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Solution

The fourth proportional to 6,854.81, 9,458.62 and 3,870.58 is: 5,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.81 : 9,458.62 = 3,870.58 : x
  2. Step 2: Convert to fraction form
    6,854.81/9,458.62 = 3,870.58/x
  3. Step 3: Cross multiply
    6,854.81x = 9,458.62 × 3,870.58
  4. Step 4: Simplify right side
    6,854.81x = 36,610,312.08
  5. Step 5: Solve for x
    x = 36,610,312.08/6,854.81
  6. Step 6: Final answer
    x = 5,340.82

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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.