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Finding the Fourth Proportional to 4,269.36, 5,891.04 and 2,406

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Solution

The fourth proportional to 4,269.36, 5,891.04 and 2,406 is: 3,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.36 : 5,891.04 = 2,406 : x
  2. Step 2: Convert to fraction form
    4,269.36/5,891.04 = 2,406/x
  3. Step 3: Cross multiply
    4,269.36x = 5,891.04 × 2,406
  4. Step 4: Simplify right side
    4,269.36x = 14,173,842.24
  5. Step 5: Solve for x
    x = 14,173,842.24/4,269.36
  6. Step 6: Final answer
    x = 3,319.90

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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.