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Finding the Fourth Proportional to 4,934.22, 7,401.33 and 1,603.14

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Solution

The fourth proportional to 4,934.22, 7,401.33 and 1,603.14 is: 2,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.22 : 7,401.33 = 1,603.14 : x
  2. Step 2: Convert to fraction form
    4,934.22/7,401.33 = 1,603.14/x
  3. Step 3: Cross multiply
    4,934.22x = 7,401.33 × 1,603.14
  4. Step 4: Simplify right side
    4,934.22x = 11,865,368.18
  5. Step 5: Solve for x
    x = 11,865,368.18/4,934.22
  6. Step 6: Final answer
    x = 2,404.71

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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.