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Finding the Fourth Proportional to 5,582.08, 7,705.92 and 3,489.28

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Solution

The fourth proportional to 5,582.08, 7,705.92 and 3,489.28 is: 4,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.08 : 7,705.92 = 3,489.28 : x
  2. Step 2: Convert to fraction form
    5,582.08/7,705.92 = 3,489.28/x
  3. Step 3: Cross multiply
    5,582.08x = 7,705.92 × 3,489.28
  4. Step 4: Simplify right side
    5,582.08x = 26,888,112.54
  5. Step 5: Solve for x
    x = 26,888,112.54/5,582.08
  6. Step 6: Final answer
    x = 4,816.86

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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.