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Finding the Fourth Proportional to 3,216.66, 4,437.30 and 2,097.12

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Solution

The fourth proportional to 3,216.66, 4,437.30 and 2,097.12 is: 2,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.66 : 4,437.30 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    3,216.66/4,437.30 = 2,097.12/x
  3. Step 3: Cross multiply
    3,216.66x = 4,437.30 × 2,097.12
  4. Step 4: Simplify right side
    3,216.66x = 9,305,550.58
  5. Step 5: Solve for x
    x = 9,305,550.58/3,216.66
  6. Step 6: Final answer
    x = 2,892.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.