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Finding the Fourth Proportional to 3,582.96, 4,944.57 and 2,011.17

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Solution

The fourth proportional to 3,582.96, 4,944.57 and 2,011.17 is: 2,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.96 : 4,944.57 = 2,011.17 : x
  2. Step 2: Convert to fraction form
    3,582.96/4,944.57 = 2,011.17/x
  3. Step 3: Cross multiply
    3,582.96x = 4,944.57 × 2,011.17
  4. Step 4: Simplify right side
    3,582.96x = 9,944,370.85
  5. Step 5: Solve for x
    x = 9,944,370.85/3,582.96
  6. Step 6: Final answer
    x = 2,775.46

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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.