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Finding the Fourth Proportional to 3,378.72, 4,665.28 and 2,713.44

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Solution

The fourth proportional to 3,378.72, 4,665.28 and 2,713.44 is: 3,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.72 : 4,665.28 = 2,713.44 : x
  2. Step 2: Convert to fraction form
    3,378.72/4,665.28 = 2,713.44/x
  3. Step 3: Cross multiply
    3,378.72x = 4,665.28 × 2,713.44
  4. Step 4: Simplify right side
    3,378.72x = 12,658,957.36
  5. Step 5: Solve for x
    x = 12,658,957.36/3,378.72
  6. Step 6: Final answer
    x = 3,746.67

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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.