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Finding the Fourth Proportional to 5,772.26, 8,653.24 and 2,264.77

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Solution

The fourth proportional to 5,772.26, 8,653.24 and 2,264.77 is: 3,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.26 : 8,653.24 = 2,264.77 : x
  2. Step 2: Convert to fraction form
    5,772.26/8,653.24 = 2,264.77/x
  3. Step 3: Cross multiply
    5,772.26x = 8,653.24 × 2,264.77
  4. Step 4: Simplify right side
    5,772.26x = 19,597,598.35
  5. Step 5: Solve for x
    x = 19,597,598.35/5,772.26
  6. Step 6: Final answer
    x = 3,395.13

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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.