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Finding the Fourth Proportional to 3,877.40, 5,805.68 and 2,313.52

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Solution

The fourth proportional to 3,877.40, 5,805.68 and 2,313.52 is: 3,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.40 : 5,805.68 = 2,313.52 : x
  2. Step 2: Convert to fraction form
    3,877.40/5,805.68 = 2,313.52/x
  3. Step 3: Cross multiply
    3,877.40x = 5,805.68 × 2,313.52
  4. Step 4: Simplify right side
    3,877.40x = 13,431,530.71
  5. Step 5: Solve for x
    x = 13,431,530.71/3,877.40
  6. Step 6: Final answer
    x = 3,464.05

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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.