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Finding the Fourth Proportional to 5,740.92, 7,914.29 and 4,225.82

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Solution

The fourth proportional to 5,740.92, 7,914.29 and 4,225.82 is: 5,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.92 : 7,914.29 = 4,225.82 : x
  2. Step 2: Convert to fraction form
    5,740.92/7,914.29 = 4,225.82/x
  3. Step 3: Cross multiply
    5,740.92x = 7,914.29 × 4,225.82
  4. Step 4: Simplify right side
    5,740.92x = 33,444,304.27
  5. Step 5: Solve for x
    x = 33,444,304.27/5,740.92
  6. Step 6: Final answer
    x = 5,825.60

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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.