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Finding the Fourth Proportional to 6,070.38, 8,377.08 and 3,417.78

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Solution

The fourth proportional to 6,070.38, 8,377.08 and 3,417.78 is: 4,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.38 : 8,377.08 = 3,417.78 : x
  2. Step 2: Convert to fraction form
    6,070.38/8,377.08 = 3,417.78/x
  3. Step 3: Cross multiply
    6,070.38x = 8,377.08 × 3,417.78
  4. Step 4: Simplify right side
    6,070.38x = 28,631,016.48
  5. Step 5: Solve for x
    x = 28,631,016.48/6,070.38
  6. Step 6: Final answer
    x = 4,716.51

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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.