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Finding the Fourth Proportional to 4,761.28, 6,569.28 and 2,896.96

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Solution

The fourth proportional to 4,761.28, 6,569.28 and 2,896.96 is: 3,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.28 : 6,569.28 = 2,896.96 : x
  2. Step 2: Convert to fraction form
    4,761.28/6,569.28 = 2,896.96/x
  3. Step 3: Cross multiply
    4,761.28x = 6,569.28 × 2,896.96
  4. Step 4: Simplify right side
    4,761.28x = 19,030,941.39
  5. Step 5: Solve for x
    x = 19,030,941.39/4,761.28
  6. Step 6: Final answer
    x = 3,997.02

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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.