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Finding the Fourth Proportional to 6,184.38, 8,534.85 and 3,494.66

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Solution

The fourth proportional to 6,184.38, 8,534.85 and 3,494.66 is: 4,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.38 : 8,534.85 = 3,494.66 : x
  2. Step 2: Convert to fraction form
    6,184.38/8,534.85 = 3,494.66/x
  3. Step 3: Cross multiply
    6,184.38x = 8,534.85 × 3,494.66
  4. Step 4: Simplify right side
    6,184.38x = 29,826,356.23
  5. Step 5: Solve for x
    x = 29,826,356.23/6,184.38
  6. Step 6: Final answer
    x = 4,822.85

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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.