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Finding the Fourth Proportional to 4,473.02, 6,705.48 and 2,738

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Solution

The fourth proportional to 4,473.02, 6,705.48 and 2,738 is: 4,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.02 : 6,705.48 = 2,738 : x
  2. Step 2: Convert to fraction form
    4,473.02/6,705.48 = 2,738/x
  3. Step 3: Cross multiply
    4,473.02x = 6,705.48 × 2,738
  4. Step 4: Simplify right side
    4,473.02x = 18,359,604.24
  5. Step 5: Solve for x
    x = 18,359,604.24/4,473.02
  6. Step 6: Final answer
    x = 4,104.52

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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.