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Finding the Fourth Proportional to 3,564.90, 5,348.25 and 2,877.81

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Solution

The fourth proportional to 3,564.90, 5,348.25 and 2,877.81 is: 4,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.90 : 5,348.25 = 2,877.81 : x
  2. Step 2: Convert to fraction form
    3,564.90/5,348.25 = 2,877.81/x
  3. Step 3: Cross multiply
    3,564.90x = 5,348.25 × 2,877.81
  4. Step 4: Simplify right side
    3,564.90x = 15,391,247.33
  5. Step 5: Solve for x
    x = 15,391,247.33/3,564.90
  6. Step 6: Final answer
    x = 4,317.44

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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.