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Finding the Fourth Proportional to 4,103.47, 5,662.92 and 2,335.19

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Solution

The fourth proportional to 4,103.47, 5,662.92 and 2,335.19 is: 3,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.47 : 5,662.92 = 2,335.19 : x
  2. Step 2: Convert to fraction form
    4,103.47/5,662.92 = 2,335.19/x
  3. Step 3: Cross multiply
    4,103.47x = 5,662.92 × 2,335.19
  4. Step 4: Simplify right side
    4,103.47x = 13,223,987.08
  5. Step 5: Solve for x
    x = 13,223,987.08/4,103.47
  6. Step 6: Final answer
    x = 3,222.63

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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.