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Finding the Fourth Proportional to 3,405.96, 4,697.85 and 3,291.66

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Solution

The fourth proportional to 3,405.96, 4,697.85 and 3,291.66 is: 4,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.96 : 4,697.85 = 3,291.66 : x
  2. Step 2: Convert to fraction form
    3,405.96/4,697.85 = 3,291.66/x
  3. Step 3: Cross multiply
    3,405.96x = 4,697.85 × 3,291.66
  4. Step 4: Simplify right side
    3,405.96x = 15,463,724.93
  5. Step 5: Solve for x
    x = 15,463,724.93/3,405.96
  6. Step 6: Final answer
    x = 4,540.20

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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.