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Finding the Fourth Proportional to 7,228.71, 10,825.74 and 3,709.46

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Solution

The fourth proportional to 7,228.71, 10,825.74 and 3,709.46 is: 5,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.71 : 10,825.74 = 3,709.46 : x
  2. Step 2: Convert to fraction form
    7,228.71/10,825.74 = 3,709.46/x
  3. Step 3: Cross multiply
    7,228.71x = 10,825.74 × 3,709.46
  4. Step 4: Simplify right side
    7,228.71x = 40,157,649.50
  5. Step 5: Solve for x
    x = 40,157,649.50/7,228.71
  6. Step 6: Final answer
    x = 5,555.30

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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.