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Finding the Fourth Proportional to 4,288.71, 6,436.71 and 1,693.47

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Solution

The fourth proportional to 4,288.71, 6,436.71 and 1,693.47 is: 2,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.71 : 6,436.71 = 1,693.47 : x
  2. Step 2: Convert to fraction form
    4,288.71/6,436.71 = 1,693.47/x
  3. Step 3: Cross multiply
    4,288.71x = 6,436.71 × 1,693.47
  4. Step 4: Simplify right side
    4,288.71x = 10,900,375.28
  5. Step 5: Solve for x
    x = 10,900,375.28/4,288.71
  6. Step 6: Final answer
    x = 2,541.64

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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.