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Finding the Fourth Proportional to 3,775.20, 5,664.08 and 1,178.20

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Solution

The fourth proportional to 3,775.20, 5,664.08 and 1,178.20 is: 1,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.20 : 5,664.08 = 1,178.20 : x
  2. Step 2: Convert to fraction form
    3,775.20/5,664.08 = 1,178.20/x
  3. Step 3: Cross multiply
    3,775.20x = 5,664.08 × 1,178.20
  4. Step 4: Simplify right side
    3,775.20x = 6,673,419.06
  5. Step 5: Solve for x
    x = 6,673,419.06/3,775.20
  6. Step 6: Final answer
    x = 1,767.70

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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.