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Finding the Fourth Proportional to 4,494, 6,714.99 and 3,433.92

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Solution

The fourth proportional to 4,494, 6,714.99 and 3,433.92 is: 5,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494 : 6,714.99 = 3,433.92 : x
  2. Step 2: Convert to fraction form
    4,494/6,714.99 = 3,433.92/x
  3. Step 3: Cross multiply
    4,494x = 6,714.99 × 3,433.92
  4. Step 4: Simplify right side
    4,494x = 23,058,738.46
  5. Step 5: Solve for x
    x = 23,058,738.46/4,494
  6. Step 6: Final answer
    x = 5,131.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.