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Finding the Fourth Proportional to 3,363.41, 5,045.42 and 1,023.47

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Solution

The fourth proportional to 3,363.41, 5,045.42 and 1,023.47 is: 1,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.41 : 5,045.42 = 1,023.47 : x
  2. Step 2: Convert to fraction form
    3,363.41/5,045.42 = 1,023.47/x
  3. Step 3: Cross multiply
    3,363.41x = 5,045.42 × 1,023.47
  4. Step 4: Simplify right side
    3,363.41x = 5,163,805.66
  5. Step 5: Solve for x
    x = 5,163,805.66/3,363.41
  6. Step 6: Final answer
    x = 1,535.29

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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.