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Finding the Fourth Proportional to 3,744.55, 5,167.50 and 2,066.01

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Solution

The fourth proportional to 3,744.55, 5,167.50 and 2,066.01 is: 2,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.55 : 5,167.50 = 2,066.01 : x
  2. Step 2: Convert to fraction form
    3,744.55/5,167.50 = 2,066.01/x
  3. Step 3: Cross multiply
    3,744.55x = 5,167.50 × 2,066.01
  4. Step 4: Simplify right side
    3,744.55x = 10,676,080.84
  5. Step 5: Solve for x
    x = 10,676,080.84/3,744.55
  6. Step 6: Final answer
    x = 2,851.10

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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.