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Finding the Fourth Proportional to 4,757.12, 6,564.81 and 2,661.24

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Solution

The fourth proportional to 4,757.12, 6,564.81 and 2,661.24 is: 3,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.12 : 6,564.81 = 2,661.24 : x
  2. Step 2: Convert to fraction form
    4,757.12/6,564.81 = 2,661.24/x
  3. Step 3: Cross multiply
    4,757.12x = 6,564.81 × 2,661.24
  4. Step 4: Simplify right side
    4,757.12x = 17,470,534.96
  5. Step 5: Solve for x
    x = 17,470,534.96/4,757.12
  6. Step 6: Final answer
    x = 3,672.51

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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.