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Finding the Fourth Proportional to 4,743, 6,545.70 and 2,647.26

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Solution

The fourth proportional to 4,743, 6,545.70 and 2,647.26 is: 3,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743 : 6,545.70 = 2,647.26 : x
  2. Step 2: Convert to fraction form
    4,743/6,545.70 = 2,647.26/x
  3. Step 3: Cross multiply
    4,743x = 6,545.70 × 2,647.26
  4. Step 4: Simplify right side
    4,743x = 17,328,169.78
  5. Step 5: Solve for x
    x = 17,328,169.78/4,743
  6. Step 6: Final answer
    x = 3,653.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.