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Finding the Fourth Proportional to 4,520.30, 6,776.81 and 2,569.82

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Solution

The fourth proportional to 4,520.30, 6,776.81 and 2,569.82 is: 3,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.30 : 6,776.81 = 2,569.82 : x
  2. Step 2: Convert to fraction form
    4,520.30/6,776.81 = 2,569.82/x
  3. Step 3: Cross multiply
    4,520.30x = 6,776.81 × 2,569.82
  4. Step 4: Simplify right side
    4,520.30x = 17,415,185.97
  5. Step 5: Solve for x
    x = 17,415,185.97/4,520.30
  6. Step 6: Final answer
    x = 3,852.66

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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.