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Finding the Fourth Proportional to 3,252.54, 4,898.16 and 3,033.84

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Solution

The fourth proportional to 3,252.54, 4,898.16 and 3,033.84 is: 4,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.54 : 4,898.16 = 3,033.84 : x
  2. Step 2: Convert to fraction form
    3,252.54/4,898.16 = 3,033.84/x
  3. Step 3: Cross multiply
    3,252.54x = 4,898.16 × 3,033.84
  4. Step 4: Simplify right side
    3,252.54x = 14,860,233.73
  5. Step 5: Solve for x
    x = 14,860,233.73/3,252.54
  6. Step 6: Final answer
    x = 4,568.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.