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Finding the Fourth Proportional to 4,103.86, 5,663.13 and 2,335.30

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Solution

The fourth proportional to 4,103.86, 5,663.13 and 2,335.30 is: 3,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.86 : 5,663.13 = 2,335.30 : x
  2. Step 2: Convert to fraction form
    4,103.86/5,663.13 = 2,335.30/x
  3. Step 3: Cross multiply
    4,103.86x = 5,663.13 × 2,335.30
  4. Step 4: Simplify right side
    4,103.86x = 13,225,107.49
  5. Step 5: Solve for x
    x = 13,225,107.49/4,103.86
  6. Step 6: Final answer
    x = 3,222.60

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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.