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Finding the Fourth Proportional to 4,586.40, 6,879.87 and 1,299.22

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Solution

The fourth proportional to 4,586.40, 6,879.87 and 1,299.22 is: 1,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.40 : 6,879.87 = 1,299.22 : x
  2. Step 2: Convert to fraction form
    4,586.40/6,879.87 = 1,299.22/x
  3. Step 3: Cross multiply
    4,586.40x = 6,879.87 × 1,299.22
  4. Step 4: Simplify right side
    4,586.40x = 8,938,464.70
  5. Step 5: Solve for x
    x = 8,938,464.70/4,586.40
  6. Step 6: Final answer
    x = 1,948.91

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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.