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Finding the Fourth Proportional to 4,262.52, 5,905.09 and 4,160.46

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Solution

The fourth proportional to 4,262.52, 5,905.09 and 4,160.46 is: 5,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.52 : 5,905.09 = 4,160.46 : x
  2. Step 2: Convert to fraction form
    4,262.52/5,905.09 = 4,160.46/x
  3. Step 3: Cross multiply
    4,262.52x = 5,905.09 × 4,160.46
  4. Step 4: Simplify right side
    4,262.52x = 24,567,869.94
  5. Step 5: Solve for x
    x = 24,567,869.94/4,262.52
  6. Step 6: Final answer
    x = 5,763.70

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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.