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Finding the Fourth Proportional to 3,175.86, 4,763.81 and 2,981.10

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Solution

The fourth proportional to 3,175.86, 4,763.81 and 2,981.10 is: 4,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.86 : 4,763.81 = 2,981.10 : x
  2. Step 2: Convert to fraction form
    3,175.86/4,763.81 = 2,981.10/x
  3. Step 3: Cross multiply
    3,175.86x = 4,763.81 × 2,981.10
  4. Step 4: Simplify right side
    3,175.86x = 14,201,419.31
  5. Step 5: Solve for x
    x = 14,201,419.31/3,175.86
  6. Step 6: Final answer
    x = 4,471.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.