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Finding the Fourth Proportional to 4,658.53, 6,982.08 and 2,190.04

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Solution

The fourth proportional to 4,658.53, 6,982.08 and 2,190.04 is: 3,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.53 : 6,982.08 = 2,190.04 : x
  2. Step 2: Convert to fraction form
    4,658.53/6,982.08 = 2,190.04/x
  3. Step 3: Cross multiply
    4,658.53x = 6,982.08 × 2,190.04
  4. Step 4: Simplify right side
    4,658.53x = 15,291,034.48
  5. Step 5: Solve for x
    x = 15,291,034.48/4,658.53
  6. Step 6: Final answer
    x = 3,282.37

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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.