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Finding the Fourth Proportional to 3,140.91, 4,688.42 and 2,912.49

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Solution

The fourth proportional to 3,140.91, 4,688.42 and 2,912.49 is: 4,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.91 : 4,688.42 = 2,912.49 : x
  2. Step 2: Convert to fraction form
    3,140.91/4,688.42 = 2,912.49/x
  3. Step 3: Cross multiply
    3,140.91x = 4,688.42 × 2,912.49
  4. Step 4: Simplify right side
    3,140.91x = 13,654,961.80
  5. Step 5: Solve for x
    x = 13,654,961.80/3,140.91
  6. Step 6: Final answer
    x = 4,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.