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Finding the Fourth Proportional to 3,889.76, 5,836.08 and 2,330.87

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Solution

The fourth proportional to 3,889.76, 5,836.08 and 2,330.87 is: 3,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.76 : 5,836.08 = 2,330.87 : x
  2. Step 2: Convert to fraction form
    3,889.76/5,836.08 = 2,330.87/x
  3. Step 3: Cross multiply
    3,889.76x = 5,836.08 × 2,330.87
  4. Step 4: Simplify right side
    3,889.76x = 13,603,123.35
  5. Step 5: Solve for x
    x = 13,603,123.35/3,889.76
  6. Step 6: Final answer
    x = 3,497.17

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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.