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Finding the Fourth Proportional to 3,475.64, 4,796.22 and 1,903.82

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Solution

The fourth proportional to 3,475.64, 4,796.22 and 1,903.82 is: 2,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.64 : 4,796.22 = 1,903.82 : x
  2. Step 2: Convert to fraction form
    3,475.64/4,796.22 = 1,903.82/x
  3. Step 3: Cross multiply
    3,475.64x = 4,796.22 × 1,903.82
  4. Step 4: Simplify right side
    3,475.64x = 9,131,139.56
  5. Step 5: Solve for x
    x = 9,131,139.56/3,475.64
  6. Step 6: Final answer
    x = 2,627.18

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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.