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Finding the Fourth Proportional to 5,449.74, 8,162.35 and 4,737.78

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Solution

The fourth proportional to 5,449.74, 8,162.35 and 4,737.78 is: 7,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.74 : 8,162.35 = 4,737.78 : x
  2. Step 2: Convert to fraction form
    5,449.74/8,162.35 = 4,737.78/x
  3. Step 3: Cross multiply
    5,449.74x = 8,162.35 × 4,737.78
  4. Step 4: Simplify right side
    5,449.74x = 38,671,418.58
  5. Step 5: Solve for x
    x = 38,671,418.58/5,449.74
  6. Step 6: Final answer
    x = 7,096.01

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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.