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Finding the Fourth Proportional to 5,200.39, 7,177.17 and 3,435.67

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Solution

The fourth proportional to 5,200.39, 7,177.17 and 3,435.67 is: 4,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.39 : 7,177.17 = 3,435.67 : x
  2. Step 2: Convert to fraction form
    5,200.39/7,177.17 = 3,435.67/x
  3. Step 3: Cross multiply
    5,200.39x = 7,177.17 × 3,435.67
  4. Step 4: Simplify right side
    5,200.39x = 24,658,387.65
  5. Step 5: Solve for x
    x = 24,658,387.65/5,200.39
  6. Step 6: Final answer
    x = 4,741.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.