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Finding the Fourth Proportional to 3,434.76, 5,140.08 and 2,462.76

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Solution

The fourth proportional to 3,434.76, 5,140.08 and 2,462.76 is: 3,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.76 : 5,140.08 = 2,462.76 : x
  2. Step 2: Convert to fraction form
    3,434.76/5,140.08 = 2,462.76/x
  3. Step 3: Cross multiply
    3,434.76x = 5,140.08 × 2,462.76
  4. Step 4: Simplify right side
    3,434.76x = 12,658,783.42
  5. Step 5: Solve for x
    x = 12,658,783.42/3,434.76
  6. Step 6: Final answer
    x = 3,685.49

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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.