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Finding the Fourth Proportional to 5,017.71, 7,523.80 and 1,728.09

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Solution

The fourth proportional to 5,017.71, 7,523.80 and 1,728.09 is: 2,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.71 : 7,523.80 = 1,728.09 : x
  2. Step 2: Convert to fraction form
    5,017.71/7,523.80 = 1,728.09/x
  3. Step 3: Cross multiply
    5,017.71x = 7,523.80 × 1,728.09
  4. Step 4: Simplify right side
    5,017.71x = 13,001,803.54
  5. Step 5: Solve for x
    x = 13,001,803.54/5,017.71
  6. Step 6: Final answer
    x = 2,591.18

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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.