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Finding the Fourth Proportional to 4,997.84, 6,896.88 and 2,901.92

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Solution

The fourth proportional to 4,997.84, 6,896.88 and 2,901.92 is: 4,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.84 : 6,896.88 = 2,901.92 : x
  2. Step 2: Convert to fraction form
    4,997.84/6,896.88 = 2,901.92/x
  3. Step 3: Cross multiply
    4,997.84x = 6,896.88 × 2,901.92
  4. Step 4: Simplify right side
    4,997.84x = 20,014,194.01
  5. Step 5: Solve for x
    x = 20,014,194.01/4,997.84
  6. Step 6: Final answer
    x = 4,004.57

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1.5x scale

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.