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Finding the Fourth Proportional to 4,187.76, 6,282.12 and 1,266.24

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Solution

The fourth proportional to 4,187.76, 6,282.12 and 1,266.24 is: 1,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.76 : 6,282.12 = 1,266.24 : x
  2. Step 2: Convert to fraction form
    4,187.76/6,282.12 = 1,266.24/x
  3. Step 3: Cross multiply
    4,187.76x = 6,282.12 × 1,266.24
  4. Step 4: Simplify right side
    4,187.76x = 7,954,671.63
  5. Step 5: Solve for x
    x = 7,954,671.63/4,187.76
  6. Step 6: Final answer
    x = 1,899.51

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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.