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Finding the Fourth Proportional to 3,507.22, 5,264.07 and 1,777.06

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Solution

The fourth proportional to 3,507.22, 5,264.07 and 1,777.06 is: 2,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.22 : 5,264.07 = 1,777.06 : x
  2. Step 2: Convert to fraction form
    3,507.22/5,264.07 = 1,777.06/x
  3. Step 3: Cross multiply
    3,507.22x = 5,264.07 × 1,777.06
  4. Step 4: Simplify right side
    3,507.22x = 9,354,568.23
  5. Step 5: Solve for x
    x = 9,354,568.23/3,507.22
  6. Step 6: Final answer
    x = 2,667.23

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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.