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Finding the Fourth Proportional to 5,232.74, 7,847.46 and 1,722.02

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Solution

The fourth proportional to 5,232.74, 7,847.46 and 1,722.02 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.74 : 7,847.46 = 1,722.02 : x
  2. Step 2: Convert to fraction form
    5,232.74/7,847.46 = 1,722.02/x
  3. Step 3: Cross multiply
    5,232.74x = 7,847.46 × 1,722.02
  4. Step 4: Simplify right side
    5,232.74x = 13,513,443.83
  5. Step 5: Solve for x
    x = 13,513,443.83/5,232.74
  6. Step 6: Final answer
    x = 2,582.48

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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.