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Finding the Fourth Proportional to 4,363.82, 6,546.94 and 2,417.39

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Solution

The fourth proportional to 4,363.82, 6,546.94 and 2,417.39 is: 3,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.82 : 6,546.94 = 2,417.39 : x
  2. Step 2: Convert to fraction form
    4,363.82/6,546.94 = 2,417.39/x
  3. Step 3: Cross multiply
    4,363.82x = 6,546.94 × 2,417.39
  4. Step 4: Simplify right side
    4,363.82x = 15,826,468.51
  5. Step 5: Solve for x
    x = 15,826,468.51/4,363.82
  6. Step 6: Final answer
    x = 3,626.75

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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.