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Finding the Fourth Proportional to 5,833.50, 8,754.68 and 4,277.44

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Solution

The fourth proportional to 5,833.50, 8,754.68 and 4,277.44 is: 6,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.50 : 8,754.68 = 4,277.44 : x
  2. Step 2: Convert to fraction form
    5,833.50/8,754.68 = 4,277.44/x
  3. Step 3: Cross multiply
    5,833.50x = 8,754.68 × 4,277.44
  4. Step 4: Simplify right side
    5,833.50x = 37,447,618.42
  5. Step 5: Solve for x
    x = 37,447,618.42/5,833.50
  6. Step 6: Final answer
    x = 6,419.41

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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.