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Finding the Fourth Proportional to 4,293.52, 6,436.62 and 1,698.28

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Solution

The fourth proportional to 4,293.52, 6,436.62 and 1,698.28 is: 2,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.52 : 6,436.62 = 1,698.28 : x
  2. Step 2: Convert to fraction form
    4,293.52/6,436.62 = 1,698.28/x
  3. Step 3: Cross multiply
    4,293.52x = 6,436.62 × 1,698.28
  4. Step 4: Simplify right side
    4,293.52x = 10,931,183.01
  5. Step 5: Solve for x
    x = 10,931,183.01/4,293.52
  6. Step 6: Final answer
    x = 2,545.97

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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.