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Finding the Fourth Proportional to 4,473.70, 6,677.85 and 4,148.44

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Solution

The fourth proportional to 4,473.70, 6,677.85 and 4,148.44 is: 6,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.70 : 6,677.85 = 4,148.44 : x
  2. Step 2: Convert to fraction form
    4,473.70/6,677.85 = 4,148.44/x
  3. Step 3: Cross multiply
    4,473.70x = 6,677.85 × 4,148.44
  4. Step 4: Simplify right side
    4,473.70x = 27,702,660.05
  5. Step 5: Solve for x
    x = 27,702,660.05/4,473.70
  6. Step 6: Final answer
    x = 6,192.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.