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Finding the Fourth Proportional to 4,801, 7,204.38 and 2,065

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Solution

The fourth proportional to 4,801, 7,204.38 and 2,065 is: 3,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801 : 7,204.38 = 2,065 : x
  2. Step 2: Convert to fraction form
    4,801/7,204.38 = 2,065/x
  3. Step 3: Cross multiply
    4,801x = 7,204.38 × 2,065
  4. Step 4: Simplify right side
    4,801x = 14,877,044.70
  5. Step 5: Solve for x
    x = 14,877,044.70/4,801
  6. Step 6: Final answer
    x = 3,098.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.