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Finding the Fourth Proportional to 3,707.06, 5,561.89 and 1,857.77

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Solution

The fourth proportional to 3,707.06, 5,561.89 and 1,857.77 is: 2,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.06 : 5,561.89 = 1,857.77 : x
  2. Step 2: Convert to fraction form
    3,707.06/5,561.89 = 1,857.77/x
  3. Step 3: Cross multiply
    3,707.06x = 5,561.89 × 1,857.77
  4. Step 4: Simplify right side
    3,707.06x = 10,332,679.93
  5. Step 5: Solve for x
    x = 10,332,679.93/3,707.06
  6. Step 6: Final answer
    x = 2,787.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.