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Finding the Fourth Proportional to 4,465.71, 6,699.92 and 1,693.23

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Solution

The fourth proportional to 4,465.71, 6,699.92 and 1,693.23 is: 2,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.71 : 6,699.92 = 1,693.23 : x
  2. Step 2: Convert to fraction form
    4,465.71/6,699.92 = 1,693.23/x
  3. Step 3: Cross multiply
    4,465.71x = 6,699.92 × 1,693.23
  4. Step 4: Simplify right side
    4,465.71x = 11,344,497.08
  5. Step 5: Solve for x
    x = 11,344,497.08/4,465.71
  6. Step 6: Final answer
    x = 2,540.36

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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.