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Finding the Fourth Proportional to 5,856.68, 8,784.10 and 1,908.08

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Solution

The fourth proportional to 5,856.68, 8,784.10 and 1,908.08 is: 2,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.68 : 8,784.10 = 1,908.08 : x
  2. Step 2: Convert to fraction form
    5,856.68/8,784.10 = 1,908.08/x
  3. Step 3: Cross multiply
    5,856.68x = 8,784.10 × 1,908.08
  4. Step 4: Simplify right side
    5,856.68x = 16,760,765.53
  5. Step 5: Solve for x
    x = 16,760,765.53/5,856.68
  6. Step 6: Final answer
    x = 2,861.82

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Why These Related Problems?

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