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Finding the Fourth Proportional to 5,559.40, 8,344.86 and 4,159

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Solution

The fourth proportional to 5,559.40, 8,344.86 and 4,159 is: 6,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.40 : 8,344.86 = 4,159 : x
  2. Step 2: Convert to fraction form
    5,559.40/8,344.86 = 4,159/x
  3. Step 3: Cross multiply
    5,559.40x = 8,344.86 × 4,159
  4. Step 4: Simplify right side
    5,559.40x = 34,706,272.74
  5. Step 5: Solve for x
    x = 34,706,272.74/5,559.40
  6. Step 6: Final answer
    x = 6,242.81

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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.