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Finding the Fourth Proportional to 3,582.65, 4,944.06 and 1,989.32

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Solution

The fourth proportional to 3,582.65, 4,944.06 and 1,989.32 is: 2,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.65 : 4,944.06 = 1,989.32 : x
  2. Step 2: Convert to fraction form
    3,582.65/4,944.06 = 1,989.32/x
  3. Step 3: Cross multiply
    3,582.65x = 4,944.06 × 1,989.32
  4. Step 4: Simplify right side
    3,582.65x = 9,835,317.44
  5. Step 5: Solve for x
    x = 9,835,317.44/3,582.65
  6. Step 6: Final answer
    x = 2,745.26

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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.