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Finding the Fourth Proportional to 4,563.77, 6,297.85 and 2,574.25

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Solution

The fourth proportional to 4,563.77, 6,297.85 and 2,574.25 is: 3,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.77 : 6,297.85 = 2,574.25 : x
  2. Step 2: Convert to fraction form
    4,563.77/6,297.85 = 2,574.25/x
  3. Step 3: Cross multiply
    4,563.77x = 6,297.85 × 2,574.25
  4. Step 4: Simplify right side
    4,563.77x = 16,212,233.93
  5. Step 5: Solve for x
    x = 16,212,233.93/4,563.77
  6. Step 6: Final answer
    x = 3,552.38

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Why These Related Problems?

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