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Finding the Fourth Proportional to 3,207.84, 4,429.88 and 3,033.13

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Solution

The fourth proportional to 3,207.84, 4,429.88 and 3,033.13 is: 4,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.84 : 4,429.88 = 3,033.13 : x
  2. Step 2: Convert to fraction form
    3,207.84/4,429.88 = 3,033.13/x
  3. Step 3: Cross multiply
    3,207.84x = 4,429.88 × 3,033.13
  4. Step 4: Simplify right side
    3,207.84x = 13,436,376.71
  5. Step 5: Solve for x
    x = 13,436,376.71/3,207.84
  6. Step 6: Final answer
    x = 4,188.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.