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Finding the Fourth Proportional to 3,582.54, 4,943.43 and 1,989.17

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Solution

The fourth proportional to 3,582.54, 4,943.43 and 1,989.17 is: 2,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.54 : 4,943.43 = 1,989.17 : x
  2. Step 2: Convert to fraction form
    3,582.54/4,943.43 = 1,989.17/x
  3. Step 3: Cross multiply
    3,582.54x = 4,943.43 × 1,989.17
  4. Step 4: Simplify right side
    3,582.54x = 9,833,322.65
  5. Step 5: Solve for x
    x = 9,833,322.65/3,582.54
  6. Step 6: Final answer
    x = 2,744.79

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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.