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Finding the Fourth Proportional to 3,661.16, 5,054.58 and 2,265.80

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Solution

The fourth proportional to 3,661.16, 5,054.58 and 2,265.80 is: 3,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.16 : 5,054.58 = 2,265.80 : x
  2. Step 2: Convert to fraction form
    3,661.16/5,054.58 = 2,265.80/x
  3. Step 3: Cross multiply
    3,661.16x = 5,054.58 × 2,265.80
  4. Step 4: Simplify right side
    3,661.16x = 11,452,667.36
  5. Step 5: Solve for x
    x = 11,452,667.36/3,661.16
  6. Step 6: Final answer
    x = 3,128.15

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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.