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Finding the Fourth Proportional to 5,494.47, 7,584.62 and 3,818.31

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Solution

The fourth proportional to 5,494.47, 7,584.62 and 3,818.31 is: 5,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.47 : 7,584.62 = 3,818.31 : x
  2. Step 2: Convert to fraction form
    5,494.47/7,584.62 = 3,818.31/x
  3. Step 3: Cross multiply
    5,494.47x = 7,584.62 × 3,818.31
  4. Step 4: Simplify right side
    5,494.47x = 28,960,411.30
  5. Step 5: Solve for x
    x = 28,960,411.30/5,494.47
  6. Step 6: Final answer
    x = 5,270.83

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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.