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Finding the Fourth Proportional to 3,838.72, 5,758.19 and 1,498.63

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Solution

The fourth proportional to 3,838.72, 5,758.19 and 1,498.63 is: 2,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.72 : 5,758.19 = 1,498.63 : x
  2. Step 2: Convert to fraction form
    3,838.72/5,758.19 = 1,498.63/x
  3. Step 3: Cross multiply
    3,838.72x = 5,758.19 × 1,498.63
  4. Step 4: Simplify right side
    3,838.72x = 8,629,374.61
  5. Step 5: Solve for x
    x = 8,629,374.61/3,838.72
  6. Step 6: Final answer
    x = 2,247.98

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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.