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Finding the Fourth Proportional to 3,818.61, 5,727.92 and 1,045.31

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Solution

The fourth proportional to 3,818.61, 5,727.92 and 1,045.31 is: 1,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.61 : 5,727.92 = 1,045.31 : x
  2. Step 2: Convert to fraction form
    3,818.61/5,727.92 = 1,045.31/x
  3. Step 3: Cross multiply
    3,818.61x = 5,727.92 × 1,045.31
  4. Step 4: Simplify right side
    3,818.61x = 5,987,447.51
  5. Step 5: Solve for x
    x = 5,987,447.51/3,818.61
  6. Step 6: Final answer
    x = 1,567.97

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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.