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Finding the Fourth Proportional to 3,471.69, 4,790.88 and 2,074.17

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Solution

The fourth proportional to 3,471.69, 4,790.88 and 2,074.17 is: 2,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.69 : 4,790.88 = 2,074.17 : x
  2. Step 2: Convert to fraction form
    3,471.69/4,790.88 = 2,074.17/x
  3. Step 3: Cross multiply
    3,471.69x = 4,790.88 × 2,074.17
  4. Step 4: Simplify right side
    3,471.69x = 9,937,099.57
  5. Step 5: Solve for x
    x = 9,937,099.57/3,471.69
  6. Step 6: Final answer
    x = 2,862.32

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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.