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Finding the Fourth Proportional to 3,482.90, 5,226.15 and 2,313.71

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Solution

The fourth proportional to 3,482.90, 5,226.15 and 2,313.71 is: 3,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.90 : 5,226.15 = 2,313.71 : x
  2. Step 2: Convert to fraction form
    3,482.90/5,226.15 = 2,313.71/x
  3. Step 3: Cross multiply
    3,482.90x = 5,226.15 × 2,313.71
  4. Step 4: Simplify right side
    3,482.90x = 12,091,814.04
  5. Step 5: Solve for x
    x = 12,091,814.04/3,482.90
  6. Step 6: Final answer
    x = 3,471.76

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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.