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Finding the Fourth Proportional to 4,188.51, 6,282.63 and 1,266.57

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Solution

The fourth proportional to 4,188.51, 6,282.63 and 1,266.57 is: 1,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.51 : 6,282.63 = 1,266.57 : x
  2. Step 2: Convert to fraction form
    4,188.51/6,282.63 = 1,266.57/x
  3. Step 3: Cross multiply
    4,188.51x = 6,282.63 × 1,266.57
  4. Step 4: Simplify right side
    4,188.51x = 7,957,390.68
  5. Step 5: Solve for x
    x = 7,957,390.68/4,188.51
  6. Step 6: Final answer
    x = 1,899.81

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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.