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Finding the Fourth Proportional to 7,405.92, 10,221.03 and 4,220.37

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Solution

The fourth proportional to 7,405.92, 10,221.03 and 4,220.37 is: 5,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.92 : 10,221.03 = 4,220.37 : x
  2. Step 2: Convert to fraction form
    7,405.92/10,221.03 = 4,220.37/x
  3. Step 3: Cross multiply
    7,405.92x = 10,221.03 × 4,220.37
  4. Step 4: Simplify right side
    7,405.92x = 43,136,528.38
  5. Step 5: Solve for x
    x = 43,136,528.38/7,405.92
  6. Step 6: Final answer
    x = 5,824.60

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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.