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Finding the Fourth Proportional to 4,934.53, 7,401.93 and 2,159.77

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Solution

The fourth proportional to 4,934.53, 7,401.93 and 2,159.77 is: 3,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.53 : 7,401.93 = 2,159.77 : x
  2. Step 2: Convert to fraction form
    4,934.53/7,401.93 = 2,159.77/x
  3. Step 3: Cross multiply
    4,934.53x = 7,401.93 × 2,159.77
  4. Step 4: Simplify right side
    4,934.53x = 15,986,466.36
  5. Step 5: Solve for x
    x = 15,986,466.36/4,934.53
  6. Step 6: Final answer
    x = 3,239.71

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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.