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Finding the Fourth Proportional to 3,780.18, 5,667.84 and 3,225.06

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Solution

The fourth proportional to 3,780.18, 5,667.84 and 3,225.06 is: 4,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.18 : 5,667.84 = 3,225.06 : x
  2. Step 2: Convert to fraction form
    3,780.18/5,667.84 = 3,225.06/x
  3. Step 3: Cross multiply
    3,780.18x = 5,667.84 × 3,225.06
  4. Step 4: Simplify right side
    3,780.18x = 18,279,124.07
  5. Step 5: Solve for x
    x = 18,279,124.07/3,780.18
  6. Step 6: Final answer
    x = 4,835.52

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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.