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Finding the Fourth Proportional to 4,103.69, 5,663.00 and 2,335.25

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Solution

The fourth proportional to 4,103.69, 5,663.00 and 2,335.25 is: 3,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.69 : 5,663.00 = 2,335.25 : x
  2. Step 2: Convert to fraction form
    4,103.69/5,663.00 = 2,335.25/x
  3. Step 3: Cross multiply
    4,103.69x = 5,663.00 × 2,335.25
  4. Step 4: Simplify right side
    4,103.69x = 13,224,480.76
  5. Step 5: Solve for x
    x = 13,224,480.76/4,103.69
  6. Step 6: Final answer
    x = 3,222.59

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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.