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Finding the Fourth Proportional to 6,269.84, 8,652.38 and 3,437.19

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Solution

The fourth proportional to 6,269.84, 8,652.38 and 3,437.19 is: 4,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.84 : 8,652.38 = 3,437.19 : x
  2. Step 2: Convert to fraction form
    6,269.84/8,652.38 = 3,437.19/x
  3. Step 3: Cross multiply
    6,269.84x = 8,652.38 × 3,437.19
  4. Step 4: Simplify right side
    6,269.84x = 29,739,869.72
  5. Step 5: Solve for x
    x = 29,739,869.72/6,269.84
  6. Step 6: Final answer
    x = 4,743.32

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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.