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Finding the Fourth Proportional to 5,400.86, 7,454.13 and 3,410.78

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Solution

The fourth proportional to 5,400.86, 7,454.13 and 3,410.78 is: 4,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.86 : 7,454.13 = 3,410.78 : x
  2. Step 2: Convert to fraction form
    5,400.86/7,454.13 = 3,410.78/x
  3. Step 3: Cross multiply
    5,400.86x = 7,454.13 × 3,410.78
  4. Step 4: Simplify right side
    5,400.86x = 25,424,397.52
  5. Step 5: Solve for x
    x = 25,424,397.52/5,400.86
  6. Step 6: Final answer
    x = 4,707.47

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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.