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Finding the Fourth Proportional to 3,137.86, 4,330.32 and 1,721.61

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Solution

The fourth proportional to 3,137.86, 4,330.32 and 1,721.61 is: 2,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.86 : 4,330.32 = 1,721.61 : x
  2. Step 2: Convert to fraction form
    3,137.86/4,330.32 = 1,721.61/x
  3. Step 3: Cross multiply
    3,137.86x = 4,330.32 × 1,721.61
  4. Step 4: Simplify right side
    3,137.86x = 7,455,122.22
  5. Step 5: Solve for x
    x = 7,455,122.22/3,137.86
  6. Step 6: Final answer
    x = 2,375.86

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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.