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Finding the Fourth Proportional to 4,933.66, 7,396.17 and 1,853.50

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Solution

The fourth proportional to 4,933.66, 7,396.17 and 1,853.50 is: 2,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.66 : 7,396.17 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    4,933.66/7,396.17 = 1,853.50/x
  3. Step 3: Cross multiply
    4,933.66x = 7,396.17 × 1,853.50
  4. Step 4: Simplify right side
    4,933.66x = 13,708,801.10
  5. Step 5: Solve for x
    x = 13,708,801.10/4,933.66
  6. Step 6: Final answer
    x = 2,778.63

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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.