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Finding the Fourth Proportional to 3,935.22, 5,430.69 and 2,166.92

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Solution

The fourth proportional to 3,935.22, 5,430.69 and 2,166.92 is: 2,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.22 : 5,430.69 = 2,166.92 : x
  2. Step 2: Convert to fraction form
    3,935.22/5,430.69 = 2,166.92/x
  3. Step 3: Cross multiply
    3,935.22x = 5,430.69 × 2,166.92
  4. Step 4: Simplify right side
    3,935.22x = 11,767,884.35
  5. Step 5: Solve for x
    x = 11,767,884.35/3,935.22
  6. Step 6: Final answer
    x = 2,990.40

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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.