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Finding the Fourth Proportional to 3,743.77, 5,616.16 and 1,277.93

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Solution

The fourth proportional to 3,743.77, 5,616.16 and 1,277.93 is: 1,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.77 : 5,616.16 = 1,277.93 : x
  2. Step 2: Convert to fraction form
    3,743.77/5,616.16 = 1,277.93/x
  3. Step 3: Cross multiply
    3,743.77x = 5,616.16 × 1,277.93
  4. Step 4: Simplify right side
    3,743.77x = 7,177,059.35
  5. Step 5: Solve for x
    x = 7,177,059.35/3,743.77
  6. Step 6: Final answer
    x = 1,917.07

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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.