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Finding the Fourth Proportional to 4,335.42, 5,982.86 and 2,345.97

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Solution

The fourth proportional to 4,335.42, 5,982.86 and 2,345.97 is: 3,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.42 : 5,982.86 = 2,345.97 : x
  2. Step 2: Convert to fraction form
    4,335.42/5,982.86 = 2,345.97/x
  3. Step 3: Cross multiply
    4,335.42x = 5,982.86 × 2,345.97
  4. Step 4: Simplify right side
    4,335.42x = 14,035,615.94
  5. Step 5: Solve for x
    x = 14,035,615.94/4,335.42
  6. Step 6: Final answer
    x = 3,237.43

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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.