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Finding the Fourth Proportional to 5,224.68, 7,837.76 and 1,527.20

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Solution

The fourth proportional to 5,224.68, 7,837.76 and 1,527.20 is: 2,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.68 : 7,837.76 = 1,527.20 : x
  2. Step 2: Convert to fraction form
    5,224.68/7,837.76 = 1,527.20/x
  3. Step 3: Cross multiply
    5,224.68x = 7,837.76 × 1,527.20
  4. Step 4: Simplify right side
    5,224.68x = 11,969,780.25
  5. Step 5: Solve for x
    x = 11,969,780.25/5,224.68
  6. Step 6: Final answer
    x = 2,291.01

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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.