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Finding the Fourth Proportional to 5,224.32, 7,837.20 and 1,762.56

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Solution

The fourth proportional to 5,224.32, 7,837.20 and 1,762.56 is: 2,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.32 : 7,837.20 = 1,762.56 : x
  2. Step 2: Convert to fraction form
    5,224.32/7,837.20 = 1,762.56/x
  3. Step 3: Cross multiply
    5,224.32x = 7,837.20 × 1,762.56
  4. Step 4: Simplify right side
    5,224.32x = 13,813,535.23
  5. Step 5: Solve for x
    x = 13,813,535.23/5,224.32
  6. Step 6: Final answer
    x = 2,644.08

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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.