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Finding the Fourth Proportional to 4,741.80, 7,112.70 and 3,356.70

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Solution

The fourth proportional to 4,741.80, 7,112.70 and 3,356.70 is: 5,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.80 : 7,112.70 = 3,356.70 : x
  2. Step 2: Convert to fraction form
    4,741.80/7,112.70 = 3,356.70/x
  3. Step 3: Cross multiply
    4,741.80x = 7,112.70 × 3,356.70
  4. Step 4: Simplify right side
    4,741.80x = 23,875,200.09
  5. Step 5: Solve for x
    x = 23,875,200.09/4,741.80
  6. Step 6: Final answer
    x = 5,035.05

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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.