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Finding the Fourth Proportional to 3,749.70, 5,171.93 and 2,490.12

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Solution

The fourth proportional to 3,749.70, 5,171.93 and 2,490.12 is: 3,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.70 : 5,171.93 = 2,490.12 : x
  2. Step 2: Convert to fraction form
    3,749.70/5,171.93 = 2,490.12/x
  3. Step 3: Cross multiply
    3,749.70x = 5,171.93 × 2,490.12
  4. Step 4: Simplify right side
    3,749.70x = 12,878,713.88
  5. Step 5: Solve for x
    x = 12,878,713.88/3,749.70
  6. Step 6: Final answer
    x = 3,434.60

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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.