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Finding the Fourth Proportional to 6,135.30, 8,466.86 and 3,340.80

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Solution

The fourth proportional to 6,135.30, 8,466.86 and 3,340.80 is: 4,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.30 : 8,466.86 = 3,340.80 : x
  2. Step 2: Convert to fraction form
    6,135.30/8,466.86 = 3,340.80/x
  3. Step 3: Cross multiply
    6,135.30x = 8,466.86 × 3,340.80
  4. Step 4: Simplify right side
    6,135.30x = 28,286,094.24
  5. Step 5: Solve for x
    x = 28,286,094.24/6,135.30
  6. Step 6: Final answer
    x = 4,610.38

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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.