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Finding the Fourth Proportional to 4,176.66, 6,227.60 and 4,102.86

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Solution

The fourth proportional to 4,176.66, 6,227.60 and 4,102.86 is: 6,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.66 : 6,227.60 = 4,102.86 : x
  2. Step 2: Convert to fraction form
    4,176.66/6,227.60 = 4,102.86/x
  3. Step 3: Cross multiply
    4,176.66x = 6,227.60 × 4,102.86
  4. Step 4: Simplify right side
    4,176.66x = 25,550,950.42
  5. Step 5: Solve for x
    x = 25,550,950.42/4,176.66
  6. Step 6: Final answer
    x = 6,117.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.