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Finding the Fourth Proportional to 5,267.92, 7,904.00 and 2,344.22

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Solution

The fourth proportional to 5,267.92, 7,904.00 and 2,344.22 is: 3,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.92 : 7,904.00 = 2,344.22 : x
  2. Step 2: Convert to fraction form
    5,267.92/7,904.00 = 2,344.22/x
  3. Step 3: Cross multiply
    5,267.92x = 7,904.00 × 2,344.22
  4. Step 4: Simplify right side
    5,267.92x = 18,528,740.50
  5. Step 5: Solve for x
    x = 18,528,740.50/5,267.92
  6. Step 6: Final answer
    x = 3,517.28

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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.