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Finding the Fourth Proportional to 4,563.70, 6,297.70 and 2,574.43

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Solution

The fourth proportional to 4,563.70, 6,297.70 and 2,574.43 is: 3,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.70 : 6,297.70 = 2,574.43 : x
  2. Step 2: Convert to fraction form
    4,563.70/6,297.70 = 2,574.43/x
  3. Step 3: Cross multiply
    4,563.70x = 6,297.70 × 2,574.43
  4. Step 4: Simplify right side
    4,563.70x = 16,212,987.81
  5. Step 5: Solve for x
    x = 16,212,987.81/4,563.70
  6. Step 6: Final answer
    x = 3,552.60

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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.