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Finding the Fourth Proportional to 4,338.32, 6,511.12 and 4,064.95

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Solution

The fourth proportional to 4,338.32, 6,511.12 and 4,064.95 is: 6,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.32 : 6,511.12 = 4,064.95 : x
  2. Step 2: Convert to fraction form
    4,338.32/6,511.12 = 4,064.95/x
  3. Step 3: Cross multiply
    4,338.32x = 6,511.12 × 4,064.95
  4. Step 4: Simplify right side
    4,338.32x = 26,467,377.24
  5. Step 5: Solve for x
    x = 26,467,377.24/4,338.32
  6. Step 6: Final answer
    x = 6,100.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.