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Finding the Fourth Proportional to 5,866.85, 8,792.88 and 4,192.25

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Solution

The fourth proportional to 5,866.85, 8,792.88 and 4,192.25 is: 6,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.85 : 8,792.88 = 4,192.25 : x
  2. Step 2: Convert to fraction form
    5,866.85/8,792.88 = 4,192.25/x
  3. Step 3: Cross multiply
    5,866.85x = 8,792.88 × 4,192.25
  4. Step 4: Simplify right side
    5,866.85x = 36,861,907.22
  5. Step 5: Solve for x
    x = 36,861,907.22/5,866.85
  6. Step 6: Final answer
    x = 6,283.09

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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.