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Finding the Fourth Proportional to 3,203.91, 4,800.29 and 2,502.50

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Solution

The fourth proportional to 3,203.91, 4,800.29 and 2,502.50 is: 3,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.91 : 4,800.29 = 2,502.50 : x
  2. Step 2: Convert to fraction form
    3,203.91/4,800.29 = 2,502.50/x
  3. Step 3: Cross multiply
    3,203.91x = 4,800.29 × 2,502.50
  4. Step 4: Simplify right side
    3,203.91x = 12,012,689.21
  5. Step 5: Solve for x
    x = 12,012,689.21/3,203.91
  6. Step 6: Final answer
    x = 3,749.38

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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.