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Finding the Fourth Proportional to 3,867.99, 5,800.96 and 1,402.35

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Solution

The fourth proportional to 3,867.99, 5,800.96 and 1,402.35 is: 2,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.99 : 5,800.96 = 1,402.35 : x
  2. Step 2: Convert to fraction form
    3,867.99/5,800.96 = 1,402.35/x
  3. Step 3: Cross multiply
    3,867.99x = 5,800.96 × 1,402.35
  4. Step 4: Simplify right side
    3,867.99x = 8,134,976.26
  5. Step 5: Solve for x
    x = 8,134,976.26/3,867.99
  6. Step 6: Final answer
    x = 2,103.15

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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.