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Finding the Fourth Proportional to 6,114.38, 8,437.84 and 3,461.74

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Solution

The fourth proportional to 6,114.38, 8,437.84 and 3,461.74 is: 4,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.38 : 8,437.84 = 3,461.74 : x
  2. Step 2: Convert to fraction form
    6,114.38/8,437.84 = 3,461.74/x
  3. Step 3: Cross multiply
    6,114.38x = 8,437.84 × 3,461.74
  4. Step 4: Simplify right side
    6,114.38x = 29,209,608.24
  5. Step 5: Solve for x
    x = 29,209,608.24/6,114.38
  6. Step 6: Final answer
    x = 4,777.20

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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.