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Finding the Fourth Proportional to 3,518.64, 5,277.96 and 1,178.21

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Solution

The fourth proportional to 3,518.64, 5,277.96 and 1,178.21 is: 1,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.64 : 5,277.96 = 1,178.21 : x
  2. Step 2: Convert to fraction form
    3,518.64/5,277.96 = 1,178.21/x
  3. Step 3: Cross multiply
    3,518.64x = 5,277.96 × 1,178.21
  4. Step 4: Simplify right side
    3,518.64x = 6,218,558.45
  5. Step 5: Solve for x
    x = 6,218,558.45/3,518.64
  6. Step 6: Final answer
    x = 1,767.32

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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.