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Finding the Fourth Proportional to 3,624.87, 5,434.02 and 1,315.83

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Solution

The fourth proportional to 3,624.87, 5,434.02 and 1,315.83 is: 1,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.87 : 5,434.02 = 1,315.83 : x
  2. Step 2: Convert to fraction form
    3,624.87/5,434.02 = 1,315.83/x
  3. Step 3: Cross multiply
    3,624.87x = 5,434.02 × 1,315.83
  4. Step 4: Simplify right side
    3,624.87x = 7,150,246.54
  5. Step 5: Solve for x
    x = 7,150,246.54/3,624.87
  6. Step 6: Final answer
    x = 1,972.55

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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.