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Finding the Fourth Proportional to 5,410.98, 7,464.97 and 3,285.71

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Solution

The fourth proportional to 5,410.98, 7,464.97 and 3,285.71 is: 4,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.98 : 7,464.97 = 3,285.71 : x
  2. Step 2: Convert to fraction form
    5,410.98/7,464.97 = 3,285.71/x
  3. Step 3: Cross multiply
    5,410.98x = 7,464.97 × 3,285.71
  4. Step 4: Simplify right side
    5,410.98x = 24,527,726.58
  5. Step 5: Solve for x
    x = 24,527,726.58/5,410.98
  6. Step 6: Final answer
    x = 4,532.95

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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.