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Finding the Fourth Proportional to 4,002.84, 6,006 and 2,151.80

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Solution

The fourth proportional to 4,002.84, 6,006 and 2,151.80 is: 3,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.84 : 6,006 = 2,151.80 : x
  2. Step 2: Convert to fraction form
    4,002.84/6,006 = 2,151.80/x
  3. Step 3: Cross multiply
    4,002.84x = 6,006 × 2,151.80
  4. Step 4: Simplify right side
    4,002.84x = 12,923,710.80
  5. Step 5: Solve for x
    x = 12,923,710.80/4,002.84
  6. Step 6: Final answer
    x = 3,228.64

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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.