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Finding the Fourth Proportional to 5,584.89, 7,704.69 and 3,459.86

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Solution

The fourth proportional to 5,584.89, 7,704.69 and 3,459.86 is: 4,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.89 : 7,704.69 = 3,459.86 : x
  2. Step 2: Convert to fraction form
    5,584.89/7,704.69 = 3,459.86/x
  3. Step 3: Cross multiply
    5,584.89x = 7,704.69 × 3,459.86
  4. Step 4: Simplify right side
    5,584.89x = 26,657,110.22
  5. Step 5: Solve for x
    x = 26,657,110.22/5,584.89
  6. Step 6: Final answer
    x = 4,773.08

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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.