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Finding the Fourth Proportional to 3,877.62, 5,813.07 and 1,567.62

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Solution

The fourth proportional to 3,877.62, 5,813.07 and 1,567.62 is: 2,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.62 : 5,813.07 = 1,567.62 : x
  2. Step 2: Convert to fraction form
    3,877.62/5,813.07 = 1,567.62/x
  3. Step 3: Cross multiply
    3,877.62x = 5,813.07 × 1,567.62
  4. Step 4: Simplify right side
    3,877.62x = 9,112,684.79
  5. Step 5: Solve for x
    x = 9,112,684.79/3,877.62
  6. Step 6: Final answer
    x = 2,350.07

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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.