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Finding the Fourth Proportional to 5,784.94, 7,983.20 and 3,132.34

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Solution

The fourth proportional to 5,784.94, 7,983.20 and 3,132.34 is: 4,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.94 : 7,983.20 = 3,132.34 : x
  2. Step 2: Convert to fraction form
    5,784.94/7,983.20 = 3,132.34/x
  3. Step 3: Cross multiply
    5,784.94x = 7,983.20 × 3,132.34
  4. Step 4: Simplify right side
    5,784.94x = 25,006,096.69
  5. Step 5: Solve for x
    x = 25,006,096.69/5,784.94
  6. Step 6: Final answer
    x = 4,322.62

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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.