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Finding the Fourth Proportional to 3,364.80, 5,047.20 and 2,586.30

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Solution

The fourth proportional to 3,364.80, 5,047.20 and 2,586.30 is: 3,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.80 : 5,047.20 = 2,586.30 : x
  2. Step 2: Convert to fraction form
    3,364.80/5,047.20 = 2,586.30/x
  3. Step 3: Cross multiply
    3,364.80x = 5,047.20 × 2,586.30
  4. Step 4: Simplify right side
    3,364.80x = 13,053,573.36
  5. Step 5: Solve for x
    x = 13,053,573.36/3,364.80
  6. Step 6: Final answer
    x = 3,879.45

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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.