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Finding the Fourth Proportional to 3,673.04, 5,066.50 and 2,414.16

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Solution

The fourth proportional to 3,673.04, 5,066.50 and 2,414.16 is: 3,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.04 : 5,066.50 = 2,414.16 : x
  2. Step 2: Convert to fraction form
    3,673.04/5,066.50 = 2,414.16/x
  3. Step 3: Cross multiply
    3,673.04x = 5,066.50 × 2,414.16
  4. Step 4: Simplify right side
    3,673.04x = 12,231,341.64
  5. Step 5: Solve for x
    x = 12,231,341.64/3,673.04
  6. Step 6: Final answer
    x = 3,330.03

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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.