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Finding the Fourth Proportional to 3,772.44, 5,632.47 and 3,539.16

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Solution

The fourth proportional to 3,772.44, 5,632.47 and 3,539.16 is: 5,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.44 : 5,632.47 = 3,539.16 : x
  2. Step 2: Convert to fraction form
    3,772.44/5,632.47 = 3,539.16/x
  3. Step 3: Cross multiply
    3,772.44x = 5,632.47 × 3,539.16
  4. Step 4: Simplify right side
    3,772.44x = 19,934,212.53
  5. Step 5: Solve for x
    x = 19,934,212.53/3,772.44
  6. Step 6: Final answer
    x = 5,284.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.