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Finding the Fourth Proportional to 4,661.52, 6,993.25 and 1,374.34

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Solution

The fourth proportional to 4,661.52, 6,993.25 and 1,374.34 is: 2,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.52 : 6,993.25 = 1,374.34 : x
  2. Step 2: Convert to fraction form
    4,661.52/6,993.25 = 1,374.34/x
  3. Step 3: Cross multiply
    4,661.52x = 6,993.25 × 1,374.34
  4. Step 4: Simplify right side
    4,661.52x = 9,611,103.21
  5. Step 5: Solve for x
    x = 9,611,103.21/4,661.52
  6. Step 6: Final answer
    x = 2,061.80

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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.