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Finding the Fourth Proportional to 7,175.98, 10,740.90 and 3,835.87

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Solution

The fourth proportional to 7,175.98, 10,740.90 and 3,835.87 is: 5,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.98 : 10,740.90 = 3,835.87 : x
  2. Step 2: Convert to fraction form
    7,175.98/10,740.90 = 3,835.87/x
  3. Step 3: Cross multiply
    7,175.98x = 10,740.90 × 3,835.87
  4. Step 4: Simplify right side
    7,175.98x = 41,200,696.08
  5. Step 5: Solve for x
    x = 41,200,696.08/7,175.98
  6. Step 6: Final answer
    x = 5,741.47

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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.