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Finding the Fourth Proportional to 4,311.24, 6,448.98 and 4,048.80

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Solution

The fourth proportional to 4,311.24, 6,448.98 and 4,048.80 is: 6,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.24 : 6,448.98 = 4,048.80 : x
  2. Step 2: Convert to fraction form
    4,311.24/6,448.98 = 4,048.80/x
  3. Step 3: Cross multiply
    4,311.24x = 6,448.98 × 4,048.80
  4. Step 4: Simplify right side
    4,311.24x = 26,110,630.22
  5. Step 5: Solve for x
    x = 26,110,630.22/4,311.24
  6. Step 6: Final answer
    x = 6,056.41

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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.