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Finding the Fourth Proportional to 3,767.65, 5,648.23 and 2,203.81

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Solution

The fourth proportional to 3,767.65, 5,648.23 and 2,203.81 is: 3,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.65 : 5,648.23 = 2,203.81 : x
  2. Step 2: Convert to fraction form
    3,767.65/5,648.23 = 2,203.81/x
  3. Step 3: Cross multiply
    3,767.65x = 5,648.23 × 2,203.81
  4. Step 4: Simplify right side
    3,767.65x = 12,447,625.76
  5. Step 5: Solve for x
    x = 12,447,625.76/3,767.65
  6. Step 6: Final answer
    x = 3,303.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.