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Finding the Fourth Proportional to 3,777.08, 5,640.17 and 3,085.12

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Solution

The fourth proportional to 3,777.08, 5,640.17 and 3,085.12 is: 4,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.08 : 5,640.17 = 3,085.12 : x
  2. Step 2: Convert to fraction form
    3,777.08/5,640.17 = 3,085.12/x
  3. Step 3: Cross multiply
    3,777.08x = 5,640.17 × 3,085.12
  4. Step 4: Simplify right side
    3,777.08x = 17,400,573.07
  5. Step 5: Solve for x
    x = 17,400,573.07/3,777.08
  6. Step 6: Final answer
    x = 4,606.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.