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Finding the Fourth Proportional to 3,475.71, 4,796.46 and 1,903.77

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Solution

The fourth proportional to 3,475.71, 4,796.46 and 1,903.77 is: 2,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.71 : 4,796.46 = 1,903.77 : x
  2. Step 2: Convert to fraction form
    3,475.71/4,796.46 = 1,903.77/x
  3. Step 3: Cross multiply
    3,475.71x = 4,796.46 × 1,903.77
  4. Step 4: Simplify right side
    3,475.71x = 9,131,356.65
  5. Step 5: Solve for x
    x = 9,131,356.65/3,475.71
  6. Step 6: Final answer
    x = 2,627.19

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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.