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Finding the Fourth Proportional to 4,665.28, 6,438 and 2,569.36

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Solution

The fourth proportional to 4,665.28, 6,438 and 2,569.36 is: 3,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.28 : 6,438 = 2,569.36 : x
  2. Step 2: Convert to fraction form
    4,665.28/6,438 = 2,569.36/x
  3. Step 3: Cross multiply
    4,665.28x = 6,438 × 2,569.36
  4. Step 4: Simplify right side
    4,665.28x = 16,541,539.68
  5. Step 5: Solve for x
    x = 16,541,539.68/4,665.28
  6. Step 6: Final answer
    x = 3,545.67

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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.