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Finding the Fourth Proportional to 3,492.76, 5,238.60 and 3,300

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Solution

The fourth proportional to 3,492.76, 5,238.60 and 3,300 is: 4,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.76 : 5,238.60 = 3,300 : x
  2. Step 2: Convert to fraction form
    3,492.76/5,238.60 = 3,300/x
  3. Step 3: Cross multiply
    3,492.76x = 5,238.60 × 3,300
  4. Step 4: Simplify right side
    3,492.76x = 17,287,380
  5. Step 5: Solve for x
    x = 17,287,380/3,492.76
  6. Step 6: Final answer
    x = 4,949.49

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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.