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Finding the Fourth Proportional to 6,269.88, 8,648.25 and 4,034.58

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Solution

The fourth proportional to 6,269.88, 8,648.25 and 4,034.58 is: 5,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.88 : 8,648.25 = 4,034.58 : x
  2. Step 2: Convert to fraction form
    6,269.88/8,648.25 = 4,034.58/x
  3. Step 3: Cross multiply
    6,269.88x = 8,648.25 × 4,034.58
  4. Step 4: Simplify right side
    6,269.88x = 34,892,056.49
  5. Step 5: Solve for x
    x = 34,892,056.49/6,269.88
  6. Step 6: Final answer
    x = 5,565.03

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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.