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Finding the Fourth Proportional to 4,658.67, 6,988.01 and 1,371.80

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Solution

The fourth proportional to 4,658.67, 6,988.01 and 1,371.80 is: 2,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.67 : 6,988.01 = 1,371.80 : x
  2. Step 2: Convert to fraction form
    4,658.67/6,988.01 = 1,371.80/x
  3. Step 3: Cross multiply
    4,658.67x = 6,988.01 × 1,371.80
  4. Step 4: Simplify right side
    4,658.67x = 9,586,110.32
  5. Step 5: Solve for x
    x = 9,586,110.32/4,658.67
  6. Step 6: Final answer
    x = 2,057.69

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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.