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Finding the Fourth Proportional to 3,567.47, 5,351.24 and 1,593.20

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Solution

The fourth proportional to 3,567.47, 5,351.24 and 1,593.20 is: 2,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.47 : 5,351.24 = 1,593.20 : x
  2. Step 2: Convert to fraction form
    3,567.47/5,351.24 = 1,593.20/x
  3. Step 3: Cross multiply
    3,567.47x = 5,351.24 × 1,593.20
  4. Step 4: Simplify right side
    3,567.47x = 8,525,603.88
  5. Step 5: Solve for x
    x = 8,525,603.88/3,567.47
  6. Step 6: Final answer
    x = 2,389.82

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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.