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Finding the Fourth Proportional to 4,804.50, 7,195.14 and 2,333.22

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Solution

The fourth proportional to 4,804.50, 7,195.14 and 2,333.22 is: 3,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.50 : 7,195.14 = 2,333.22 : x
  2. Step 2: Convert to fraction form
    4,804.50/7,195.14 = 2,333.22/x
  3. Step 3: Cross multiply
    4,804.50x = 7,195.14 × 2,333.22
  4. Step 4: Simplify right side
    4,804.50x = 16,787,844.55
  5. Step 5: Solve for x
    x = 16,787,844.55/4,804.50
  6. Step 6: Final answer
    x = 3,494.19

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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.