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Finding the Fourth Proportional to 3,658.34, 5,488.31 and 2,014.04

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Solution

The fourth proportional to 3,658.34, 5,488.31 and 2,014.04 is: 3,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.34 : 5,488.31 = 2,014.04 : x
  2. Step 2: Convert to fraction form
    3,658.34/5,488.31 = 2,014.04/x
  3. Step 3: Cross multiply
    3,658.34x = 5,488.31 × 2,014.04
  4. Step 4: Simplify right side
    3,658.34x = 11,053,653.47
  5. Step 5: Solve for x
    x = 11,053,653.47/3,658.34
  6. Step 6: Final answer
    x = 3,021.50

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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.