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Finding the Fourth Proportional to 5,310.64, 7,966.22 and 2,023.99

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Solution

The fourth proportional to 5,310.64, 7,966.22 and 2,023.99 is: 3,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.64 : 7,966.22 = 2,023.99 : x
  2. Step 2: Convert to fraction form
    5,310.64/7,966.22 = 2,023.99/x
  3. Step 3: Cross multiply
    5,310.64x = 7,966.22 × 2,023.99
  4. Step 4: Simplify right side
    5,310.64x = 16,123,549.62
  5. Step 5: Solve for x
    x = 16,123,549.62/5,310.64
  6. Step 6: Final answer
    x = 3,036.08

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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.