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Finding the Fourth Proportional to 2,997.96, 4,490.01 and 2,894.16

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Solution

The fourth proportional to 2,997.96, 4,490.01 and 2,894.16 is: 4,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.96 : 4,490.01 = 2,894.16 : x
  2. Step 2: Convert to fraction form
    2,997.96/4,490.01 = 2,894.16/x
  3. Step 3: Cross multiply
    2,997.96x = 4,490.01 × 2,894.16
  4. Step 4: Simplify right side
    2,997.96x = 12,994,807.34
  5. Step 5: Solve for x
    x = 12,994,807.34/2,997.96
  6. Step 6: Final answer
    x = 4,334.55

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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.