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Finding the Fourth Proportional to 5,806.24, 8,012.64 and 3,568.48

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Solution

The fourth proportional to 5,806.24, 8,012.64 and 3,568.48 is: 4,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.24 : 8,012.64 = 3,568.48 : x
  2. Step 2: Convert to fraction form
    5,806.24/8,012.64 = 3,568.48/x
  3. Step 3: Cross multiply
    5,806.24x = 8,012.64 × 3,568.48
  4. Step 4: Simplify right side
    5,806.24x = 28,592,945.59
  5. Step 5: Solve for x
    x = 28,592,945.59/5,806.24
  6. Step 6: Final answer
    x = 4,924.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.