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Finding the Fourth Proportional to 3,492.14, 5,238.09 and 859.66

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Solution

The fourth proportional to 3,492.14, 5,238.09 and 859.66 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.14 : 5,238.09 = 859.66 : x
  2. Step 2: Convert to fraction form
    3,492.14/5,238.09 = 859.66/x
  3. Step 3: Cross multiply
    3,492.14x = 5,238.09 × 859.66
  4. Step 4: Simplify right side
    3,492.14x = 4,502,963.35
  5. Step 5: Solve for x
    x = 4,502,963.35/3,492.14
  6. Step 6: Final answer
    x = 1,289.46

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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.