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Finding the Fourth Proportional to 3,722.28, 5,582.61 and 1,124.61

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Solution

The fourth proportional to 3,722.28, 5,582.61 and 1,124.61 is: 1,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.28 : 5,582.61 = 1,124.61 : x
  2. Step 2: Convert to fraction form
    3,722.28/5,582.61 = 1,124.61/x
  3. Step 3: Cross multiply
    3,722.28x = 5,582.61 × 1,124.61
  4. Step 4: Simplify right side
    3,722.28x = 6,278,259.03
  5. Step 5: Solve for x
    x = 6,278,259.03/3,722.28
  6. Step 6: Final answer
    x = 1,686.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.