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Finding the Fourth Proportional to 5,838.34, 8,056.92 and 3,742.47

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Solution

The fourth proportional to 5,838.34, 8,056.92 and 3,742.47 is: 5,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.34 : 8,056.92 = 3,742.47 : x
  2. Step 2: Convert to fraction form
    5,838.34/8,056.92 = 3,742.47/x
  3. Step 3: Cross multiply
    5,838.34x = 8,056.92 × 3,742.47
  4. Step 4: Simplify right side
    5,838.34x = 30,152,781.39
  5. Step 5: Solve for x
    x = 30,152,781.39/5,838.34
  6. Step 6: Final answer
    x = 5,164.62

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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.