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Finding the Fourth Proportional to 4,898.61, 6,760.10 and 2,660.49

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Solution

The fourth proportional to 4,898.61, 6,760.10 and 2,660.49 is: 3,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.61 : 6,760.10 = 2,660.49 : x
  2. Step 2: Convert to fraction form
    4,898.61/6,760.10 = 2,660.49/x
  3. Step 3: Cross multiply
    4,898.61x = 6,760.10 × 2,660.49
  4. Step 4: Simplify right side
    4,898.61x = 17,985,178.45
  5. Step 5: Solve for x
    x = 17,985,178.45/4,898.61
  6. Step 6: Final answer
    x = 3,671.49

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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.