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Finding the Fourth Proportional to 3,642, 5,024.16 and 2,297.00

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Solution

The fourth proportional to 3,642, 5,024.16 and 2,297.00 is: 3,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,024.16 = 2,297.00 : x
  2. Step 2: Convert to fraction form
    3,642/5,024.16 = 2,297.00/x
  3. Step 3: Cross multiply
    3,642x = 5,024.16 × 2,297.00
  4. Step 4: Simplify right side
    3,642x = 11,540,470.40
  5. Step 5: Solve for x
    x = 11,540,470.40/3,642
  6. Step 6: Final answer
    x = 3,168.72

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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.