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Finding the Fourth Proportional to 4,106.68, 5,665.80 and 3,162.76

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Solution

The fourth proportional to 4,106.68, 5,665.80 and 3,162.76 is: 4,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.68 : 5,665.80 = 3,162.76 : x
  2. Step 2: Convert to fraction form
    4,106.68/5,665.80 = 3,162.76/x
  3. Step 3: Cross multiply
    4,106.68x = 5,665.80 × 3,162.76
  4. Step 4: Simplify right side
    4,106.68x = 17,919,565.61
  5. Step 5: Solve for x
    x = 17,919,565.61/4,106.68
  6. Step 6: Final answer
    x = 4,363.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.