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Finding the Fourth Proportional to 3,123.52, 4,316.17 and 2,971.70

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Solution

The fourth proportional to 3,123.52, 4,316.17 and 2,971.70 is: 4,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.52 : 4,316.17 = 2,971.70 : x
  2. Step 2: Convert to fraction form
    3,123.52/4,316.17 = 2,971.70/x
  3. Step 3: Cross multiply
    3,123.52x = 4,316.17 × 2,971.70
  4. Step 4: Simplify right side
    3,123.52x = 12,826,362.39
  5. Step 5: Solve for x
    x = 12,826,362.39/3,123.52
  6. Step 6: Final answer
    x = 4,106.38

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Why These Related Problems?

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