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Finding the Fourth Proportional to 5,388, 8,082.36 and 2,310

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Solution

The fourth proportional to 5,388, 8,082.36 and 2,310 is: 3,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388 : 8,082.36 = 2,310 : x
  2. Step 2: Convert to fraction form
    5,388/8,082.36 = 2,310/x
  3. Step 3: Cross multiply
    5,388x = 8,082.36 × 2,310
  4. Step 4: Simplify right side
    5,388x = 18,670,251.60
  5. Step 5: Solve for x
    x = 18,670,251.60/5,388
  6. Step 6: Final answer
    x = 3,465.15

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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.