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Finding the Fourth Proportional to 5,751.84, 8,628.48 and 2,287.20

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Solution

The fourth proportional to 5,751.84, 8,628.48 and 2,287.20 is: 3,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.84 : 8,628.48 = 2,287.20 : x
  2. Step 2: Convert to fraction form
    5,751.84/8,628.48 = 2,287.20/x
  3. Step 3: Cross multiply
    5,751.84x = 8,628.48 × 2,287.20
  4. Step 4: Simplify right side
    5,751.84x = 19,735,059.46
  5. Step 5: Solve for x
    x = 19,735,059.46/5,751.84
  6. Step 6: Final answer
    x = 3,431.09

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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.