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Finding the Fourth Proportional to 3,715.41, 5,126.16 and 2,122

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Solution

The fourth proportional to 3,715.41, 5,126.16 and 2,122 is: 2,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.41 : 5,126.16 = 2,122 : x
  2. Step 2: Convert to fraction form
    3,715.41/5,126.16 = 2,122/x
  3. Step 3: Cross multiply
    3,715.41x = 5,126.16 × 2,122
  4. Step 4: Simplify right side
    3,715.41x = 10,877,711.52
  5. Step 5: Solve for x
    x = 10,877,711.52/3,715.41
  6. Step 6: Final answer
    x = 2,927.73

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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.