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Finding the Fourth Proportional to 4,306.50, 6,459.80 and 1,384.80

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Solution

The fourth proportional to 4,306.50, 6,459.80 and 1,384.80 is: 2,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.50 : 6,459.80 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    4,306.50/6,459.80 = 1,384.80/x
  3. Step 3: Cross multiply
    4,306.50x = 6,459.80 × 1,384.80
  4. Step 4: Simplify right side
    4,306.50x = 8,945,531.04
  5. Step 5: Solve for x
    x = 8,945,531.04/4,306.50
  6. Step 6: Final answer
    x = 2,077.22

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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.