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Finding the Fourth Proportional to 3,363.85, 5,045.77 and 1,023.99

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Solution

The fourth proportional to 3,363.85, 5,045.77 and 1,023.99 is: 1,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.85 : 5,045.77 = 1,023.99 : x
  2. Step 2: Convert to fraction form
    3,363.85/5,045.77 = 1,023.99/x
  3. Step 3: Cross multiply
    3,363.85x = 5,045.77 × 1,023.99
  4. Step 4: Simplify right side
    3,363.85x = 5,166,800.38
  5. Step 5: Solve for x
    x = 5,166,800.38/3,363.85
  6. Step 6: Final answer
    x = 1,535.98

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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.