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Finding the Fourth Proportional to 3,603.38, 4,970.08 and 2,342.08

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Solution

The fourth proportional to 3,603.38, 4,970.08 and 2,342.08 is: 3,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.38 : 4,970.08 = 2,342.08 : x
  2. Step 2: Convert to fraction form
    3,603.38/4,970.08 = 2,342.08/x
  3. Step 3: Cross multiply
    3,603.38x = 4,970.08 × 2,342.08
  4. Step 4: Simplify right side
    3,603.38x = 11,640,306.69
  5. Step 5: Solve for x
    x = 11,640,306.69/3,603.38
  6. Step 6: Final answer
    x = 3,230.39

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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.