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Finding the Fourth Proportional to 5,560.34, 7,660.08 and 3,878.69

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Solution

The fourth proportional to 5,560.34, 7,660.08 and 3,878.69 is: 5,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560.34 : 7,660.08 = 3,878.69 : x
  2. Step 2: Convert to fraction form
    5,560.34/7,660.08 = 3,878.69/x
  3. Step 3: Cross multiply
    5,560.34x = 7,660.08 × 3,878.69
  4. Step 4: Simplify right side
    5,560.34x = 29,711,037.39
  5. Step 5: Solve for x
    x = 29,711,037.39/5,560.34
  6. Step 6: Final answer
    x = 5,343.39

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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.