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Finding the Fourth Proportional to 3,764.33, 5,199.15 and 3,545.63

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Solution

The fourth proportional to 3,764.33, 5,199.15 and 3,545.63 is: 4,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.33 : 5,199.15 = 3,545.63 : x
  2. Step 2: Convert to fraction form
    3,764.33/5,199.15 = 3,545.63/x
  3. Step 3: Cross multiply
    3,764.33x = 5,199.15 × 3,545.63
  4. Step 4: Simplify right side
    3,764.33x = 18,434,236.22
  5. Step 5: Solve for x
    x = 18,434,236.22/3,764.33
  6. Step 6: Final answer
    x = 4,897.09

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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.