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Finding the Fourth Proportional to 4,938.69, 7,408.17 and 1,651.17

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Solution

The fourth proportional to 4,938.69, 7,408.17 and 1,651.17 is: 2,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.69 : 7,408.17 = 1,651.17 : x
  2. Step 2: Convert to fraction form
    4,938.69/7,408.17 = 1,651.17/x
  3. Step 3: Cross multiply
    4,938.69x = 7,408.17 × 1,651.17
  4. Step 4: Simplify right side
    4,938.69x = 12,232,148.06
  5. Step 5: Solve for x
    x = 12,232,148.06/4,938.69
  6. Step 6: Final answer
    x = 2,476.80

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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.