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Finding the Fourth Proportional to 4,102, 5,660.76 and 2,239

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Solution

The fourth proportional to 4,102, 5,660.76 and 2,239 is: 3,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102 : 5,660.76 = 2,239 : x
  2. Step 2: Convert to fraction form
    4,102/5,660.76 = 2,239/x
  3. Step 3: Cross multiply
    4,102x = 5,660.76 × 2,239
  4. Step 4: Simplify right side
    4,102x = 12,674,441.64
  5. Step 5: Solve for x
    x = 12,674,441.64/4,102
  6. Step 6: Final answer
    x = 3,089.82

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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.