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Finding the Fourth Proportional to 6,114.39, 8,437.38 and 3,461.28

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Solution

The fourth proportional to 6,114.39, 8,437.38 and 3,461.28 is: 4,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.39 : 8,437.38 = 3,461.28 : x
  2. Step 2: Convert to fraction form
    6,114.39/8,437.38 = 3,461.28/x
  3. Step 3: Cross multiply
    6,114.39x = 8,437.38 × 3,461.28
  4. Step 4: Simplify right side
    6,114.39x = 29,204,156.96
  5. Step 5: Solve for x
    x = 29,204,156.96/6,114.39
  6. Step 6: Final answer
    x = 4,776.30

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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.