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Finding the Fourth Proportional to 3,658.47, 5,048.15 and 2,166.45

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Solution

The fourth proportional to 3,658.47, 5,048.15 and 2,166.45 is: 2,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.47 : 5,048.15 = 2,166.45 : x
  2. Step 2: Convert to fraction form
    3,658.47/5,048.15 = 2,166.45/x
  3. Step 3: Cross multiply
    3,658.47x = 5,048.15 × 2,166.45
  4. Step 4: Simplify right side
    3,658.47x = 10,936,539.33
  5. Step 5: Solve for x
    x = 10,936,539.33/3,658.47
  6. Step 6: Final answer
    x = 2,989.38

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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.