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Finding the Fourth Proportional to 4,551.57, 6,825.18 and 1,776.09

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Solution

The fourth proportional to 4,551.57, 6,825.18 and 1,776.09 is: 2,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.57 : 6,825.18 = 1,776.09 : x
  2. Step 2: Convert to fraction form
    4,551.57/6,825.18 = 1,776.09/x
  3. Step 3: Cross multiply
    4,551.57x = 6,825.18 × 1,776.09
  4. Step 4: Simplify right side
    4,551.57x = 12,122,133.95
  5. Step 5: Solve for x
    x = 12,122,133.95/4,551.57
  6. Step 6: Final answer
    x = 2,663.29

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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.