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Finding the Fourth Proportional to 4,535.84, 6,801.33 and 1,865.09

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Solution

The fourth proportional to 4,535.84, 6,801.33 and 1,865.09 is: 2,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.84 : 6,801.33 = 1,865.09 : x
  2. Step 2: Convert to fraction form
    4,535.84/6,801.33 = 1,865.09/x
  3. Step 3: Cross multiply
    4,535.84x = 6,801.33 × 1,865.09
  4. Step 4: Simplify right side
    4,535.84x = 12,685,092.57
  5. Step 5: Solve for x
    x = 12,685,092.57/4,535.84
  6. Step 6: Final answer
    x = 2,796.64

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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.