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Finding the Fourth Proportional to 3,172.35, 4,375.93 and 2,095.63

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Solution

The fourth proportional to 3,172.35, 4,375.93 and 2,095.63 is: 2,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.35 : 4,375.93 = 2,095.63 : x
  2. Step 2: Convert to fraction form
    3,172.35/4,375.93 = 2,095.63/x
  3. Step 3: Cross multiply
    3,172.35x = 4,375.93 × 2,095.63
  4. Step 4: Simplify right side
    3,172.35x = 9,170,330.19
  5. Step 5: Solve for x
    x = 9,170,330.19/3,172.35
  6. Step 6: Final answer
    x = 2,890.71

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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.