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Finding the Fourth Proportional to 5,760.18, 7,946.37 and 3,634.74

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Solution

The fourth proportional to 5,760.18, 7,946.37 and 3,634.74 is: 5,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.18 : 7,946.37 = 3,634.74 : x
  2. Step 2: Convert to fraction form
    5,760.18/7,946.37 = 3,634.74/x
  3. Step 3: Cross multiply
    5,760.18x = 7,946.37 × 3,634.74
  4. Step 4: Simplify right side
    5,760.18x = 28,882,988.89
  5. Step 5: Solve for x
    x = 28,882,988.89/5,760.18
  6. Step 6: Final answer
    x = 5,014.25

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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.