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Finding the Fourth Proportional to 6,050.66, 8,350.90 and 4,160.66

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Solution

The fourth proportional to 6,050.66, 8,350.90 and 4,160.66 is: 5,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050.66 : 8,350.90 = 4,160.66 : x
  2. Step 2: Convert to fraction form
    6,050.66/8,350.90 = 4,160.66/x
  3. Step 3: Cross multiply
    6,050.66x = 8,350.90 × 4,160.66
  4. Step 4: Simplify right side
    6,050.66x = 34,745,255.59
  5. Step 5: Solve for x
    x = 34,745,255.59/6,050.66
  6. Step 6: Final answer
    x = 5,742.39

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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.