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Finding the Fourth Proportional to 3,715.78, 5,127.54 and 2,036.89

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Solution

The fourth proportional to 3,715.78, 5,127.54 and 2,036.89 is: 2,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.78 : 5,127.54 = 2,036.89 : x
  2. Step 2: Convert to fraction form
    3,715.78/5,127.54 = 2,036.89/x
  3. Step 3: Cross multiply
    3,715.78x = 5,127.54 × 2,036.89
  4. Step 4: Simplify right side
    3,715.78x = 10,444,234.95
  5. Step 5: Solve for x
    x = 10,444,234.95/3,715.78
  6. Step 6: Final answer
    x = 2,810.78

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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.