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Finding the Fourth Proportional to 3,758, 5,186.04 and 2,265.95

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Solution

The fourth proportional to 3,758, 5,186.04 and 2,265.95 is: 3,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758 : 5,186.04 = 2,265.95 : x
  2. Step 2: Convert to fraction form
    3,758/5,186.04 = 2,265.95/x
  3. Step 3: Cross multiply
    3,758x = 5,186.04 × 2,265.95
  4. Step 4: Simplify right side
    3,758x = 11,751,307.34
  5. Step 5: Solve for x
    x = 11,751,307.34/3,758
  6. Step 6: Final answer
    x = 3,127.01

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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.