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Finding the Fourth Proportional to 3,656.86, 5,486.66 and 2,197.02

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Solution

The fourth proportional to 3,656.86, 5,486.66 and 2,197.02 is: 3,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.86 : 5,486.66 = 2,197.02 : x
  2. Step 2: Convert to fraction form
    3,656.86/5,486.66 = 2,197.02/x
  3. Step 3: Cross multiply
    3,656.86x = 5,486.66 × 2,197.02
  4. Step 4: Simplify right side
    3,656.86x = 12,054,301.75
  5. Step 5: Solve for x
    x = 12,054,301.75/3,656.86
  6. Step 6: Final answer
    x = 3,296.35

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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.