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Finding the Fourth Proportional to 5,876.92, 8,814.54 and 1,715.82

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Solution

The fourth proportional to 5,876.92, 8,814.54 and 1,715.82 is: 2,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.92 : 8,814.54 = 1,715.82 : x
  2. Step 2: Convert to fraction form
    5,876.92/8,814.54 = 1,715.82/x
  3. Step 3: Cross multiply
    5,876.92x = 8,814.54 × 1,715.82
  4. Step 4: Simplify right side
    5,876.92x = 15,124,164.02
  5. Step 5: Solve for x
    x = 15,124,164.02/5,876.92
  6. Step 6: Final answer
    x = 2,573.48

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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.