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Finding the Fourth Proportional to 3,363.75, 5,045.49 and 1,023.66

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Solution

The fourth proportional to 3,363.75, 5,045.49 and 1,023.66 is: 1,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.75 : 5,045.49 = 1,023.66 : x
  2. Step 2: Convert to fraction form
    3,363.75/5,045.49 = 1,023.66/x
  3. Step 3: Cross multiply
    3,363.75x = 5,045.49 × 1,023.66
  4. Step 4: Simplify right side
    3,363.75x = 5,164,866.29
  5. Step 5: Solve for x
    x = 5,164,866.29/3,363.75
  6. Step 6: Final answer
    x = 1,535.45

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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.