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Finding the Fourth Proportional to 3,778.60, 5,667.80 and 1,005.20

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Solution

The fourth proportional to 3,778.60, 5,667.80 and 1,005.20 is: 1,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.60 : 5,667.80 = 1,005.20 : x
  2. Step 2: Convert to fraction form
    3,778.60/5,667.80 = 1,005.20/x
  3. Step 3: Cross multiply
    3,778.60x = 5,667.80 × 1,005.20
  4. Step 4: Simplify right side
    3,778.60x = 5,697,272.56
  5. Step 5: Solve for x
    x = 5,697,272.56/3,778.60
  6. Step 6: Final answer
    x = 1,507.77

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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.