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Finding the Fourth Proportional to 6,517.38, 8,985.63 and 4,275.39

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Solution

The fourth proportional to 6,517.38, 8,985.63 and 4,275.39 is: 5,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.38 : 8,985.63 = 4,275.39 : x
  2. Step 2: Convert to fraction form
    6,517.38/8,985.63 = 4,275.39/x
  3. Step 3: Cross multiply
    6,517.38x = 8,985.63 × 4,275.39
  4. Step 4: Simplify right side
    6,517.38x = 38,417,072.65
  5. Step 5: Solve for x
    x = 38,417,072.65/6,517.38
  6. Step 6: Final answer
    x = 5,894.56

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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.