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Finding the Fourth Proportional to 4,206.99, 6,310.50 and 1,285.29

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Solution

The fourth proportional to 4,206.99, 6,310.50 and 1,285.29 is: 1,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.99 : 6,310.50 = 1,285.29 : x
  2. Step 2: Convert to fraction form
    4,206.99/6,310.50 = 1,285.29/x
  3. Step 3: Cross multiply
    4,206.99x = 6,310.50 × 1,285.29
  4. Step 4: Simplify right side
    4,206.99x = 8,110,822.55
  5. Step 5: Solve for x
    x = 8,110,822.55/4,206.99
  6. Step 6: Final answer
    x = 1,927.94

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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.