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Finding the Fourth Proportional to 6,135.32, 8,466.84 and 3,340.82

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Solution

The fourth proportional to 6,135.32, 8,466.84 and 3,340.82 is: 4,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.32 : 8,466.84 = 3,340.82 : x
  2. Step 2: Convert to fraction form
    6,135.32/8,466.84 = 3,340.82/x
  3. Step 3: Cross multiply
    6,135.32x = 8,466.84 × 3,340.82
  4. Step 4: Simplify right side
    6,135.32x = 28,286,188.41
  5. Step 5: Solve for x
    x = 28,286,188.41/6,135.32
  6. Step 6: Final answer
    x = 4,610.39

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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.