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Finding the Fourth Proportional to 6,227.34, 8,586.15 and 4,340.58

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Solution

The fourth proportional to 6,227.34, 8,586.15 and 4,340.58 is: 5,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.34 : 8,586.15 = 4,340.58 : x
  2. Step 2: Convert to fraction form
    6,227.34/8,586.15 = 4,340.58/x
  3. Step 3: Cross multiply
    6,227.34x = 8,586.15 × 4,340.58
  4. Step 4: Simplify right side
    6,227.34x = 37,268,870.97
  5. Step 5: Solve for x
    x = 37,268,870.97/6,227.34
  6. Step 6: Final answer
    x = 5,984.72

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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.