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Finding the Fourth Proportional to 4,272.96, 5,894.40 and 2,947.32

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Solution

The fourth proportional to 4,272.96, 5,894.40 and 2,947.32 is: 4,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.96 : 5,894.40 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    4,272.96/5,894.40 = 2,947.32/x
  3. Step 3: Cross multiply
    4,272.96x = 5,894.40 × 2,947.32
  4. Step 4: Simplify right side
    4,272.96x = 17,372,683.01
  5. Step 5: Solve for x
    x = 17,372,683.01/4,272.96
  6. Step 6: Final answer
    x = 4,065.73

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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.