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Finding the Fourth Proportional to 5,784.40, 8,680.92 and 3,931.12

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Solution

The fourth proportional to 5,784.40, 8,680.92 and 3,931.12 is: 5,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.40 : 8,680.92 = 3,931.12 : x
  2. Step 2: Convert to fraction form
    5,784.40/8,680.92 = 3,931.12/x
  3. Step 3: Cross multiply
    5,784.40x = 8,680.92 × 3,931.12
  4. Step 4: Simplify right side
    5,784.40x = 34,125,738.23
  5. Step 5: Solve for x
    x = 34,125,738.23/5,784.40
  6. Step 6: Final answer
    x = 5,899.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.