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Finding the Fourth Proportional to 4,671.05, 6,439.85 and 3,871.38

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Solution

The fourth proportional to 4,671.05, 6,439.85 and 3,871.38 is: 5,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.05 : 6,439.85 = 3,871.38 : x
  2. Step 2: Convert to fraction form
    4,671.05/6,439.85 = 3,871.38/x
  3. Step 3: Cross multiply
    4,671.05x = 6,439.85 × 3,871.38
  4. Step 4: Simplify right side
    4,671.05x = 24,931,106.49
  5. Step 5: Solve for x
    x = 24,931,106.49/4,671.05
  6. Step 6: Final answer
    x = 5,337.37

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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.