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Finding the Fourth Proportional to 5,856.50, 8,784.56 and 1,696.62

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Solution

The fourth proportional to 5,856.50, 8,784.56 and 1,696.62 is: 2,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.50 : 8,784.56 = 1,696.62 : x
  2. Step 2: Convert to fraction form
    5,856.50/8,784.56 = 1,696.62/x
  3. Step 3: Cross multiply
    5,856.50x = 8,784.56 × 1,696.62
  4. Step 4: Simplify right side
    5,856.50x = 14,904,060.19
  5. Step 5: Solve for x
    x = 14,904,060.19/5,856.50
  6. Step 6: Final answer
    x = 2,544.87

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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.