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Finding the Fourth Proportional to 5,044.47, 7,564.11 and 2,268.78

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Solution

The fourth proportional to 5,044.47, 7,564.11 and 2,268.78 is: 3,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.47 : 7,564.11 = 2,268.78 : x
  2. Step 2: Convert to fraction form
    5,044.47/7,564.11 = 2,268.78/x
  3. Step 3: Cross multiply
    5,044.47x = 7,564.11 × 2,268.78
  4. Step 4: Simplify right side
    5,044.47x = 17,161,301.49
  5. Step 5: Solve for x
    x = 17,161,301.49/5,044.47
  6. Step 6: Final answer
    x = 3,402.00

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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.