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Finding the Fourth Proportional to 4,966.93, 7,450.40 and 2,658.43

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Solution

The fourth proportional to 4,966.93, 7,450.40 and 2,658.43 is: 3,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.93 : 7,450.40 = 2,658.43 : x
  2. Step 2: Convert to fraction form
    4,966.93/7,450.40 = 2,658.43/x
  3. Step 3: Cross multiply
    4,966.93x = 7,450.40 × 2,658.43
  4. Step 4: Simplify right side
    4,966.93x = 19,806,366.87
  5. Step 5: Solve for x
    x = 19,806,366.87/4,966.93
  6. Step 6: Final answer
    x = 3,987.65

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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.