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Finding the Fourth Proportional to 3,400.86, 4,693.14 and 2,074.56

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Solution

The fourth proportional to 3,400.86, 4,693.14 and 2,074.56 is: 2,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.86 : 4,693.14 = 2,074.56 : x
  2. Step 2: Convert to fraction form
    3,400.86/4,693.14 = 2,074.56/x
  3. Step 3: Cross multiply
    3,400.86x = 4,693.14 × 2,074.56
  4. Step 4: Simplify right side
    3,400.86x = 9,736,200.52
  5. Step 5: Solve for x
    x = 9,736,200.52/3,400.86
  6. Step 6: Final answer
    x = 2,862.86

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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.