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Finding the Fourth Proportional to 5,041.68, 7,564.56 and 2,266.41

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Solution

The fourth proportional to 5,041.68, 7,564.56 and 2,266.41 is: 3,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.68 : 7,564.56 = 2,266.41 : x
  2. Step 2: Convert to fraction form
    5,041.68/7,564.56 = 2,266.41/x
  3. Step 3: Cross multiply
    5,041.68x = 7,564.56 × 2,266.41
  4. Step 4: Simplify right side
    5,041.68x = 17,144,394.43
  5. Step 5: Solve for x
    x = 17,144,394.43/5,041.68
  6. Step 6: Final answer
    x = 3,400.53

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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.