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Finding the Fourth Proportional to 3,886.77, 5,837.04 and 3,577.89

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Solution

The fourth proportional to 3,886.77, 5,837.04 and 3,577.89 is: 5,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.77 : 5,837.04 = 3,577.89 : x
  2. Step 2: Convert to fraction form
    3,886.77/5,837.04 = 3,577.89/x
  3. Step 3: Cross multiply
    3,886.77x = 5,837.04 × 3,577.89
  4. Step 4: Simplify right side
    3,886.77x = 20,884,287.05
  5. Step 5: Solve for x
    x = 20,884,287.05/3,886.77
  6. Step 6: Final answer
    x = 5,373.17

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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.