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Finding the Fourth Proportional to 5,784.24, 7,981.02 and 3,427.14

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Solution

The fourth proportional to 5,784.24, 7,981.02 and 3,427.14 is: 4,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.24 : 7,981.02 = 3,427.14 : x
  2. Step 2: Convert to fraction form
    5,784.24/7,981.02 = 3,427.14/x
  3. Step 3: Cross multiply
    5,784.24x = 7,981.02 × 3,427.14
  4. Step 4: Simplify right side
    5,784.24x = 27,352,072.88
  5. Step 5: Solve for x
    x = 27,352,072.88/5,784.24
  6. Step 6: Final answer
    x = 4,728.72

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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.