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Finding the Fourth Proportional to 4,736.85, 7,097.18 and 3,347.50

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Solution

The fourth proportional to 4,736.85, 7,097.18 and 3,347.50 is: 5,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.85 : 7,097.18 = 3,347.50 : x
  2. Step 2: Convert to fraction form
    4,736.85/7,097.18 = 3,347.50/x
  3. Step 3: Cross multiply
    4,736.85x = 7,097.18 × 3,347.50
  4. Step 4: Simplify right side
    4,736.85x = 23,757,810.05
  5. Step 5: Solve for x
    x = 23,757,810.05/4,736.85
  6. Step 6: Final answer
    x = 5,015.53

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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.