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Finding the Fourth Proportional to 4,266, 6,398.26 and 1,146.22

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Solution

The fourth proportional to 4,266, 6,398.26 and 1,146.22 is: 1,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 6,398.26 = 1,146.22 : x
  2. Step 2: Convert to fraction form
    4,266/6,398.26 = 1,146.22/x
  3. Step 3: Cross multiply
    4,266x = 6,398.26 × 1,146.22
  4. Step 4: Simplify right side
    4,266x = 7,333,794.72
  5. Step 5: Solve for x
    x = 7,333,794.72/4,266
  6. Step 6: Final answer
    x = 1,719.13

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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.