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Finding the Fourth Proportional to 4,103.66, 5,663.10 and 2,335.43

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Solution

The fourth proportional to 4,103.66, 5,663.10 and 2,335.43 is: 3,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.66 : 5,663.10 = 2,335.43 : x
  2. Step 2: Convert to fraction form
    4,103.66/5,663.10 = 2,335.43/x
  3. Step 3: Cross multiply
    4,103.66x = 5,663.10 × 2,335.43
  4. Step 4: Simplify right side
    4,103.66x = 13,225,733.64
  5. Step 5: Solve for x
    x = 13,225,733.64/4,103.66
  6. Step 6: Final answer
    x = 3,222.92

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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.