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Finding the Fourth Proportional to 3,811.45, 5,715.63 and 1,178.32

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Solution

The fourth proportional to 3,811.45, 5,715.63 and 1,178.32 is: 1,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.45 : 5,715.63 = 1,178.32 : x
  2. Step 2: Convert to fraction form
    3,811.45/5,715.63 = 1,178.32/x
  3. Step 3: Cross multiply
    3,811.45x = 5,715.63 × 1,178.32
  4. Step 4: Simplify right side
    3,811.45x = 6,734,841.14
  5. Step 5: Solve for x
    x = 6,734,841.14/3,811.45
  6. Step 6: Final answer
    x = 1,767.00

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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.