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Finding the Fourth Proportional to 4,309.92, 6,461.82 and 2,117.25

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Solution

The fourth proportional to 4,309.92, 6,461.82 and 2,117.25 is: 3,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.92 : 6,461.82 = 2,117.25 : x
  2. Step 2: Convert to fraction form
    4,309.92/6,461.82 = 2,117.25/x
  3. Step 3: Cross multiply
    4,309.92x = 6,461.82 × 2,117.25
  4. Step 4: Simplify right side
    4,309.92x = 13,681,288.40
  5. Step 5: Solve for x
    x = 13,681,288.40/4,309.92
  6. Step 6: Final answer
    x = 3,174.37

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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.