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Finding the Fourth Proportional to 5,297.40, 7,943.40 and 2,523.60

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Solution

The fourth proportional to 5,297.40, 7,943.40 and 2,523.60 is: 3,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.40 : 7,943.40 = 2,523.60 : x
  2. Step 2: Convert to fraction form
    5,297.40/7,943.40 = 2,523.60/x
  3. Step 3: Cross multiply
    5,297.40x = 7,943.40 × 2,523.60
  4. Step 4: Simplify right side
    5,297.40x = 20,045,964.24
  5. Step 5: Solve for x
    x = 20,045,964.24/5,297.40
  6. Step 6: Final answer
    x = 3,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.