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Finding the Fourth Proportional to 5,886, 8,123.13 and 3,496.68

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Solution

The fourth proportional to 5,886, 8,123.13 and 3,496.68 is: 4,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 8,123.13 = 3,496.68 : x
  2. Step 2: Convert to fraction form
    5,886/8,123.13 = 3,496.68/x
  3. Step 3: Cross multiply
    5,886x = 8,123.13 × 3,496.68
  4. Step 4: Simplify right side
    5,886x = 28,403,986.21
  5. Step 5: Solve for x
    x = 28,403,986.21/5,886
  6. Step 6: Final answer
    x = 4,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.