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Finding the Fourth Proportional to 4,661.81, 6,992.71 and 1,374.64

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Solution

The fourth proportional to 4,661.81, 6,992.71 and 1,374.64 is: 2,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.81 : 6,992.71 = 1,374.64 : x
  2. Step 2: Convert to fraction form
    4,661.81/6,992.71 = 1,374.64/x
  3. Step 3: Cross multiply
    4,661.81x = 6,992.71 × 1,374.64
  4. Step 4: Simplify right side
    4,661.81x = 9,612,487.04
  5. Step 5: Solve for x
    x = 9,612,487.04/4,661.81
  6. Step 6: Final answer
    x = 2,061.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.