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Finding the Fourth Proportional to 3,944.93, 5,444.01 and 2,152.40

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Solution

The fourth proportional to 3,944.93, 5,444.01 and 2,152.40 is: 2,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.93 : 5,444.01 = 2,152.40 : x
  2. Step 2: Convert to fraction form
    3,944.93/5,444.01 = 2,152.40/x
  3. Step 3: Cross multiply
    3,944.93x = 5,444.01 × 2,152.40
  4. Step 4: Simplify right side
    3,944.93x = 11,717,659.90
  5. Step 5: Solve for x
    x = 11,717,659.90/3,944.93
  6. Step 6: Final answer
    x = 2,970.31

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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.