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Finding the Fourth Proportional to 5,876.98, 8,814.46 and 1,660.52

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Solution

The fourth proportional to 5,876.98, 8,814.46 and 1,660.52 is: 2,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.98 : 8,814.46 = 1,660.52 : x
  2. Step 2: Convert to fraction form
    5,876.98/8,814.46 = 1,660.52/x
  3. Step 3: Cross multiply
    5,876.98x = 8,814.46 × 1,660.52
  4. Step 4: Simplify right side
    5,876.98x = 14,636,578.82
  5. Step 5: Solve for x
    x = 14,636,578.82/5,876.98
  6. Step 6: Final answer
    x = 2,490.50

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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.