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Finding the Fourth Proportional to 3,632.58, 5,449.86 and 1,552.74

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Solution

The fourth proportional to 3,632.58, 5,449.86 and 1,552.74 is: 2,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.58 : 5,449.86 = 1,552.74 : x
  2. Step 2: Convert to fraction form
    3,632.58/5,449.86 = 1,552.74/x
  3. Step 3: Cross multiply
    3,632.58x = 5,449.86 × 1,552.74
  4. Step 4: Simplify right side
    3,632.58x = 8,462,215.62
  5. Step 5: Solve for x
    x = 8,462,215.62/3,632.58
  6. Step 6: Final answer
    x = 2,329.53

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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.