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Finding the Fourth Proportional to 3,656.96, 5,486.24 and 1,060.12

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Solution

The fourth proportional to 3,656.96, 5,486.24 and 1,060.12 is: 1,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.96 : 5,486.24 = 1,060.12 : x
  2. Step 2: Convert to fraction form
    3,656.96/5,486.24 = 1,060.12/x
  3. Step 3: Cross multiply
    3,656.96x = 5,486.24 × 1,060.12
  4. Step 4: Simplify right side
    3,656.96x = 5,816,072.75
  5. Step 5: Solve for x
    x = 5,816,072.75/3,656.96
  6. Step 6: Final answer
    x = 1,590.41

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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.