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Finding the Fourth Proportional to 5,338.98, 8,007.50 and 1,442.88

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Solution

The fourth proportional to 5,338.98, 8,007.50 and 1,442.88 is: 2,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.98 : 8,007.50 = 1,442.88 : x
  2. Step 2: Convert to fraction form
    5,338.98/8,007.50 = 1,442.88/x
  3. Step 3: Cross multiply
    5,338.98x = 8,007.50 × 1,442.88
  4. Step 4: Simplify right side
    5,338.98x = 11,553,861.60
  5. Step 5: Solve for x
    x = 11,553,861.60/5,338.98
  6. Step 6: Final answer
    x = 2,164.06

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1.5x scale

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.