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Finding the Fourth Proportional to 5,492.07, 8,238.36 and 1,794.28

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Solution

The fourth proportional to 5,492.07, 8,238.36 and 1,794.28 is: 2,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.07 : 8,238.36 = 1,794.28 : x
  2. Step 2: Convert to fraction form
    5,492.07/8,238.36 = 1,794.28/x
  3. Step 3: Cross multiply
    5,492.07x = 8,238.36 × 1,794.28
  4. Step 4: Simplify right side
    5,492.07x = 14,781,924.58
  5. Step 5: Solve for x
    x = 14,781,924.58/5,492.07
  6. Step 6: Final answer
    x = 2,691.50

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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.