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Finding the Fourth Proportional to 4,363.26, 6,541.11 and 1,764.51

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Solution

The fourth proportional to 4,363.26, 6,541.11 and 1,764.51 is: 2,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.26 : 6,541.11 = 1,764.51 : x
  2. Step 2: Convert to fraction form
    4,363.26/6,541.11 = 1,764.51/x
  3. Step 3: Cross multiply
    4,363.26x = 6,541.11 × 1,764.51
  4. Step 4: Simplify right side
    4,363.26x = 11,541,854.01
  5. Step 5: Solve for x
    x = 11,541,854.01/4,363.26
  6. Step 6: Final answer
    x = 2,645.24

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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.