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Finding the Fourth Proportional to 3,212.87, 4,434.06 and 1,953.63

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Solution

The fourth proportional to 3,212.87, 4,434.06 and 1,953.63 is: 2,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.87 : 4,434.06 = 1,953.63 : x
  2. Step 2: Convert to fraction form
    3,212.87/4,434.06 = 1,953.63/x
  3. Step 3: Cross multiply
    3,212.87x = 4,434.06 × 1,953.63
  4. Step 4: Simplify right side
    3,212.87x = 8,662,512.64
  5. Step 5: Solve for x
    x = 8,662,512.64/3,212.87
  6. Step 6: Final answer
    x = 2,696.20

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