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Finding the Fourth Proportional to 6,070.82, 8,377.12 and 4,478.34

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Solution

The fourth proportional to 6,070.82, 8,377.12 and 4,478.34 is: 6,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.82 : 8,377.12 = 4,478.34 : x
  2. Step 2: Convert to fraction form
    6,070.82/8,377.12 = 4,478.34/x
  3. Step 3: Cross multiply
    6,070.82x = 8,377.12 × 4,478.34
  4. Step 4: Simplify right side
    6,070.82x = 37,515,581.47
  5. Step 5: Solve for x
    x = 37,515,581.47/6,070.82
  6. Step 6: Final answer
    x = 6,179.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.