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Finding the Fourth Proportional to 3,719.22, 5,577.50 and 1,744.51

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Solution

The fourth proportional to 3,719.22, 5,577.50 and 1,744.51 is: 2,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.22 : 5,577.50 = 1,744.51 : x
  2. Step 2: Convert to fraction form
    3,719.22/5,577.50 = 1,744.51/x
  3. Step 3: Cross multiply
    3,719.22x = 5,577.50 × 1,744.51
  4. Step 4: Simplify right side
    3,719.22x = 9,730,004.53
  5. Step 5: Solve for x
    x = 9,730,004.53/3,719.22
  6. Step 6: Final answer
    x = 2,616.14

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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.