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Finding the Fourth Proportional to 4,342.96, 5,996.72 and 4,011.24

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Solution

The fourth proportional to 4,342.96, 5,996.72 and 4,011.24 is: 5,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.96 : 5,996.72 = 4,011.24 : x
  2. Step 2: Convert to fraction form
    4,342.96/5,996.72 = 4,011.24/x
  3. Step 3: Cross multiply
    4,342.96x = 5,996.72 × 4,011.24
  4. Step 4: Simplify right side
    4,342.96x = 24,054,283.13
  5. Step 5: Solve for x
    x = 24,054,283.13/4,342.96
  6. Step 6: Final answer
    x = 5,538.68

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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.