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Finding the Fourth Proportional to 5,041.54, 7,566 and 2,578.42

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Solution

The fourth proportional to 5,041.54, 7,566 and 2,578.42 is: 3,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.54 : 7,566 = 2,578.42 : x
  2. Step 2: Convert to fraction form
    5,041.54/7,566 = 2,578.42/x
  3. Step 3: Cross multiply
    5,041.54x = 7,566 × 2,578.42
  4. Step 4: Simplify right side
    5,041.54x = 19,508,325.72
  5. Step 5: Solve for x
    x = 19,508,325.72/5,041.54
  6. Step 6: Final answer
    x = 3,869.52

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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.