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Finding the Fourth Proportional to 4,754, 6,563.76 and 2,894.24

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Solution

The fourth proportional to 4,754, 6,563.76 and 2,894.24 is: 3,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754 : 6,563.76 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    4,754/6,563.76 = 2,894.24/x
  3. Step 3: Cross multiply
    4,754x = 6,563.76 × 2,894.24
  4. Step 4: Simplify right side
    4,754x = 18,997,096.74
  5. Step 5: Solve for x
    x = 18,997,096.74/4,754
  6. Step 6: Final answer
    x = 3,996.02

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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.