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Finding the Fourth Proportional to 4,810.14, 7,216.22 and 2,731.14

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Solution

The fourth proportional to 4,810.14, 7,216.22 and 2,731.14 is: 4,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.14 : 7,216.22 = 2,731.14 : x
  2. Step 2: Convert to fraction form
    4,810.14/7,216.22 = 2,731.14/x
  3. Step 3: Cross multiply
    4,810.14x = 7,216.22 × 2,731.14
  4. Step 4: Simplify right side
    4,810.14x = 19,708,513.92
  5. Step 5: Solve for x
    x = 19,708,513.92/4,810.14
  6. Step 6: Final answer
    x = 4,097.28

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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.