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Finding the Fourth Proportional to 4,185.53, 6,278.12 and 1,263.75

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Solution

The fourth proportional to 4,185.53, 6,278.12 and 1,263.75 is: 1,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.53 : 6,278.12 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    4,185.53/6,278.12 = 1,263.75/x
  3. Step 3: Cross multiply
    4,185.53x = 6,278.12 × 1,263.75
  4. Step 4: Simplify right side
    4,185.53x = 7,933,972.57
  5. Step 5: Solve for x
    x = 7,933,972.57/4,185.53
  6. Step 6: Final answer
    x = 1,895.57

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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.