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Finding the Fourth Proportional to 4,175.73, 6,264.17 and 1,403.20

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Solution

The fourth proportional to 4,175.73, 6,264.17 and 1,403.20 is: 2,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.73 : 6,264.17 = 1,403.20 : x
  2. Step 2: Convert to fraction form
    4,175.73/6,264.17 = 1,403.20/x
  3. Step 3: Cross multiply
    4,175.73x = 6,264.17 × 1,403.20
  4. Step 4: Simplify right side
    4,175.73x = 8,789,852.02
  5. Step 5: Solve for x
    x = 8,789,852.02/4,175.73
  6. Step 6: Final answer
    x = 2,104.99

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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.