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Finding the Fourth Proportional to 3,444.86, 4,749.51 and 2,231.40

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Solution

The fourth proportional to 3,444.86, 4,749.51 and 2,231.40 is: 3,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.86 : 4,749.51 = 2,231.40 : x
  2. Step 2: Convert to fraction form
    3,444.86/4,749.51 = 2,231.40/x
  3. Step 3: Cross multiply
    3,444.86x = 4,749.51 × 2,231.40
  4. Step 4: Simplify right side
    3,444.86x = 10,598,069.84
  5. Step 5: Solve for x
    x = 10,598,069.84/3,444.86
  6. Step 6: Final answer
    x = 3,076.49

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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.