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Finding the Fourth Proportional to 5,869.27, 8,790 and 5,095.63

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Solution

The fourth proportional to 5,869.27, 8,790 and 5,095.63 is: 7,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.27 : 8,790 = 5,095.63 : x
  2. Step 2: Convert to fraction form
    5,869.27/8,790 = 5,095.63/x
  3. Step 3: Cross multiply
    5,869.27x = 8,790 × 5,095.63
  4. Step 4: Simplify right side
    5,869.27x = 44,790,587.70
  5. Step 5: Solve for x
    x = 44,790,587.70/5,869.27
  6. Step 6: Final answer
    x = 7,631.37

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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.