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Finding the Fourth Proportional to 4,738.82, 7,099.59 and 3,492.50

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Solution

The fourth proportional to 4,738.82, 7,099.59 and 3,492.50 is: 5,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.82 : 7,099.59 = 3,492.50 : x
  2. Step 2: Convert to fraction form
    4,738.82/7,099.59 = 3,492.50/x
  3. Step 3: Cross multiply
    4,738.82x = 7,099.59 × 3,492.50
  4. Step 4: Simplify right side
    4,738.82x = 24,795,318.08
  5. Step 5: Solve for x
    x = 24,795,318.08/4,738.82
  6. Step 6: Final answer
    x = 5,232.38

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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.