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Finding the Fourth Proportional to 4,311.58, 6,468.39 and 1,538.50

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Solution

The fourth proportional to 4,311.58, 6,468.39 and 1,538.50 is: 2,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.58 : 6,468.39 = 1,538.50 : x
  2. Step 2: Convert to fraction form
    4,311.58/6,468.39 = 1,538.50/x
  3. Step 3: Cross multiply
    4,311.58x = 6,468.39 × 1,538.50
  4. Step 4: Simplify right side
    4,311.58x = 9,951,618.02
  5. Step 5: Solve for x
    x = 9,951,618.02/4,311.58
  6. Step 6: Final answer
    x = 2,308.11

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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.