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Finding the Fourth Proportional to 5,342.61, 7,372.81 and 2,984.75

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Solution

The fourth proportional to 5,342.61, 7,372.81 and 2,984.75 is: 4,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.61 : 7,372.81 = 2,984.75 : x
  2. Step 2: Convert to fraction form
    5,342.61/7,372.81 = 2,984.75/x
  3. Step 3: Cross multiply
    5,342.61x = 7,372.81 × 2,984.75
  4. Step 4: Simplify right side
    5,342.61x = 22,005,979.72
  5. Step 5: Solve for x
    x = 22,005,979.72/5,342.61
  6. Step 6: Final answer
    x = 4,118.96

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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.