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Finding the Fourth Proportional to 7,159.64, 10,738.02 and 2,228.48

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Solution

The fourth proportional to 7,159.64, 10,738.02 and 2,228.48 is: 3,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.64 : 10,738.02 = 2,228.48 : x
  2. Step 2: Convert to fraction form
    7,159.64/10,738.02 = 2,228.48/x
  3. Step 3: Cross multiply
    7,159.64x = 10,738.02 × 2,228.48
  4. Step 4: Simplify right side
    7,159.64x = 23,929,462.81
  5. Step 5: Solve for x
    x = 23,929,462.81/7,159.64
  6. Step 6: Final answer
    x = 3,342.27

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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.