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Finding the Fourth Proportional to 3,428.70, 5,143.05 and 3,407.10

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Solution

The fourth proportional to 3,428.70, 5,143.05 and 3,407.10 is: 5,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.70 : 5,143.05 = 3,407.10 : x
  2. Step 2: Convert to fraction form
    3,428.70/5,143.05 = 3,407.10/x
  3. Step 3: Cross multiply
    3,428.70x = 5,143.05 × 3,407.10
  4. Step 4: Simplify right side
    3,428.70x = 17,522,885.66
  5. Step 5: Solve for x
    x = 17,522,885.66/3,428.70
  6. Step 6: Final answer
    x = 5,110.65

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Similar ratio
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1.5x scale

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.