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Finding the Fourth Proportional to 3,656.48, 5,485.56 and 1,191.28

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Solution

The fourth proportional to 3,656.48, 5,485.56 and 1,191.28 is: 1,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.48 : 5,485.56 = 1,191.28 : x
  2. Step 2: Convert to fraction form
    3,656.48/5,485.56 = 1,191.28/x
  3. Step 3: Cross multiply
    3,656.48x = 5,485.56 × 1,191.28
  4. Step 4: Simplify right side
    3,656.48x = 6,534,837.92
  5. Step 5: Solve for x
    x = 6,534,837.92/3,656.48
  6. Step 6: Final answer
    x = 1,787.19

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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.