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Finding the Fourth Proportional to 3,475.76, 4,796.54 and 1,903.85

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Solution

The fourth proportional to 3,475.76, 4,796.54 and 1,903.85 is: 2,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.76 : 4,796.54 = 1,903.85 : x
  2. Step 2: Convert to fraction form
    3,475.76/4,796.54 = 1,903.85/x
  3. Step 3: Cross multiply
    3,475.76x = 4,796.54 × 1,903.85
  4. Step 4: Simplify right side
    3,475.76x = 9,131,873.46
  5. Step 5: Solve for x
    x = 9,131,873.46/3,475.76
  6. Step 6: Final answer
    x = 2,627.31

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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.