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Finding the Fourth Proportional to 6,853.76, 9,458.18 and 3,870.22

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Solution

The fourth proportional to 6,853.76, 9,458.18 and 3,870.22 is: 5,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.76 : 9,458.18 = 3,870.22 : x
  2. Step 2: Convert to fraction form
    6,853.76/9,458.18 = 3,870.22/x
  3. Step 3: Cross multiply
    6,853.76x = 9,458.18 × 3,870.22
  4. Step 4: Simplify right side
    6,853.76x = 36,605,237.40
  5. Step 5: Solve for x
    x = 36,605,237.40/6,853.76
  6. Step 6: Final answer
    x = 5,340.90

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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.