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Finding the Fourth Proportional to 5,608.53, 7,742.91 and 3,370.98

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Solution

The fourth proportional to 5,608.53, 7,742.91 and 3,370.98 is: 4,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.53 : 7,742.91 = 3,370.98 : x
  2. Step 2: Convert to fraction form
    5,608.53/7,742.91 = 3,370.98/x
  3. Step 3: Cross multiply
    5,608.53x = 7,742.91 × 3,370.98
  4. Step 4: Simplify right side
    5,608.53x = 26,101,194.75
  5. Step 5: Solve for x
    x = 26,101,194.75/5,608.53
  6. Step 6: Final answer
    x = 4,653.84

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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.