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Finding the Fourth Proportional to 5,886.26, 8,823.24 and 4,323.94

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Solution

The fourth proportional to 5,886.26, 8,823.24 and 4,323.94 is: 6,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.26 : 8,823.24 = 4,323.94 : x
  2. Step 2: Convert to fraction form
    5,886.26/8,823.24 = 4,323.94/x
  3. Step 3: Cross multiply
    5,886.26x = 8,823.24 × 4,323.94
  4. Step 4: Simplify right side
    5,886.26x = 38,151,160.37
  5. Step 5: Solve for x
    x = 38,151,160.37/5,886.26
  6. Step 6: Final answer
    x = 6,481.39

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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.