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Finding the Fourth Proportional to 3,762.24, 5,643.56 and 1,568.76

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Solution

The fourth proportional to 3,762.24, 5,643.56 and 1,568.76 is: 2,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.24 : 5,643.56 = 1,568.76 : x
  2. Step 2: Convert to fraction form
    3,762.24/5,643.56 = 1,568.76/x
  3. Step 3: Cross multiply
    3,762.24x = 5,643.56 × 1,568.76
  4. Step 4: Simplify right side
    3,762.24x = 8,853,391.19
  5. Step 5: Solve for x
    x = 8,853,391.19/3,762.24
  6. Step 6: Final answer
    x = 2,353.22

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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.