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Finding the Fourth Proportional to 5,002.88, 6,903.68 and 2,906.88

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Solution

The fourth proportional to 5,002.88, 6,903.68 and 2,906.88 is: 4,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.88 : 6,903.68 = 2,906.88 : x
  2. Step 2: Convert to fraction form
    5,002.88/6,903.68 = 2,906.88/x
  3. Step 3: Cross multiply
    5,002.88x = 6,903.68 × 2,906.88
  4. Step 4: Simplify right side
    5,002.88x = 20,068,169.32
  5. Step 5: Solve for x
    x = 20,068,169.32/5,002.88
  6. Step 6: Final answer
    x = 4,011.32

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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.