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Finding the Fourth Proportional to 3,674.01, 5,066.63 and 2,416.12

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Solution

The fourth proportional to 3,674.01, 5,066.63 and 2,416.12 is: 3,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.01 : 5,066.63 = 2,416.12 : x
  2. Step 2: Convert to fraction form
    3,674.01/5,066.63 = 2,416.12/x
  3. Step 3: Cross multiply
    3,674.01x = 5,066.63 × 2,416.12
  4. Step 4: Simplify right side
    3,674.01x = 12,241,586.08
  5. Step 5: Solve for x
    x = 12,241,586.08/3,674.01
  6. Step 6: Final answer
    x = 3,331.94

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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.