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Finding the Fourth Proportional to 5,886.53, 8,829.80 and 2,189.69

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Solution

The fourth proportional to 5,886.53, 8,829.80 and 2,189.69 is: 3,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.53 : 8,829.80 = 2,189.69 : x
  2. Step 2: Convert to fraction form
    5,886.53/8,829.80 = 2,189.69/x
  3. Step 3: Cross multiply
    5,886.53x = 8,829.80 × 2,189.69
  4. Step 4: Simplify right side
    5,886.53x = 19,334,524.76
  5. Step 5: Solve for x
    x = 19,334,524.76/5,886.53
  6. Step 6: Final answer
    x = 3,284.54

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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.