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Finding the Fourth Proportional to 3,492, 5,238.14 and 1,300.68

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Solution

The fourth proportional to 3,492, 5,238.14 and 1,300.68 is: 1,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 5,238.14 = 1,300.68 : x
  2. Step 2: Convert to fraction form
    3,492/5,238.14 = 1,300.68/x
  3. Step 3: Cross multiply
    3,492x = 5,238.14 × 1,300.68
  4. Step 4: Simplify right side
    3,492x = 6,813,137.43
  5. Step 5: Solve for x
    x = 6,813,137.43/3,492
  6. Step 6: Final answer
    x = 1,951.07

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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.