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Finding the Fourth Proportional to 5,597.76, 8,399.52 and 4,071.36

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Solution

The fourth proportional to 5,597.76, 8,399.52 and 4,071.36 is: 6,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.76 : 8,399.52 = 4,071.36 : x
  2. Step 2: Convert to fraction form
    5,597.76/8,399.52 = 4,071.36/x
  3. Step 3: Cross multiply
    5,597.76x = 8,399.52 × 4,071.36
  4. Step 4: Simplify right side
    5,597.76x = 34,197,469.75
  5. Step 5: Solve for x
    x = 34,197,469.75/5,597.76
  6. Step 6: Final answer
    x = 6,109.13

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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.