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Finding the Fourth Proportional to 3,810.68, 5,716.56 and 1,178.40

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Solution

The fourth proportional to 3,810.68, 5,716.56 and 1,178.40 is: 1,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.68 : 5,716.56 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    3,810.68/5,716.56 = 1,178.40/x
  3. Step 3: Cross multiply
    3,810.68x = 5,716.56 × 1,178.40
  4. Step 4: Simplify right side
    3,810.68x = 6,736,413.53
  5. Step 5: Solve for x
    x = 6,736,413.53/3,810.68
  6. Step 6: Final answer
    x = 1,767.77

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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.