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Finding the Fourth Proportional to 3,218.04, 4,821 and 2,874.84

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Solution

The fourth proportional to 3,218.04, 4,821 and 2,874.84 is: 4,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.04 : 4,821 = 2,874.84 : x
  2. Step 2: Convert to fraction form
    3,218.04/4,821 = 2,874.84/x
  3. Step 3: Cross multiply
    3,218.04x = 4,821 × 2,874.84
  4. Step 4: Simplify right side
    3,218.04x = 13,859,603.64
  5. Step 5: Solve for x
    x = 13,859,603.64/3,218.04
  6. Step 6: Final answer
    x = 4,306.85

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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.