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Finding the Fourth Proportional to 4,694.72, 7,039.65 and 2,502.86

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Solution

The fourth proportional to 4,694.72, 7,039.65 and 2,502.86 is: 3,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.72 : 7,039.65 = 2,502.86 : x
  2. Step 2: Convert to fraction form
    4,694.72/7,039.65 = 2,502.86/x
  3. Step 3: Cross multiply
    4,694.72x = 7,039.65 × 2,502.86
  4. Step 4: Simplify right side
    4,694.72x = 17,619,258.40
  5. Step 5: Solve for x
    x = 17,619,258.40/4,694.72
  6. Step 6: Final answer
    x = 3,752.99

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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.