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Finding the Fourth Proportional to 4,262.77, 5,905.43 and 4,160.71

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Solution

The fourth proportional to 4,262.77, 5,905.43 and 4,160.71 is: 5,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.77 : 5,905.43 = 4,160.71 : x
  2. Step 2: Convert to fraction form
    4,262.77/5,905.43 = 4,160.71/x
  3. Step 3: Cross multiply
    4,262.77x = 5,905.43 × 4,160.71
  4. Step 4: Simplify right side
    4,262.77x = 24,570,777.29
  5. Step 5: Solve for x
    x = 24,570,777.29/4,262.77
  6. Step 6: Final answer
    x = 5,764.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.