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Finding the Fourth Proportional to 3,426.57, 5,140.76 and 1,671.39

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Solution

The fourth proportional to 3,426.57, 5,140.76 and 1,671.39 is: 2,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.57 : 5,140.76 = 1,671.39 : x
  2. Step 2: Convert to fraction form
    3,426.57/5,140.76 = 1,671.39/x
  3. Step 3: Cross multiply
    3,426.57x = 5,140.76 × 1,671.39
  4. Step 4: Simplify right side
    3,426.57x = 8,592,206.50
  5. Step 5: Solve for x
    x = 8,592,206.50/3,426.57
  6. Step 6: Final answer
    x = 2,507.52

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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.