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Finding the Fourth Proportional to 4,152.26, 6,216.04 and 4,146.80

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Solution

The fourth proportional to 4,152.26, 6,216.04 and 4,146.80 is: 6,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.26 : 6,216.04 = 4,146.80 : x
  2. Step 2: Convert to fraction form
    4,152.26/6,216.04 = 4,146.80/x
  3. Step 3: Cross multiply
    4,152.26x = 6,216.04 × 4,146.80
  4. Step 4: Simplify right side
    4,152.26x = 25,776,648.78
  5. Step 5: Solve for x
    x = 25,776,648.78/4,152.26
  6. Step 6: Final answer
    x = 6,207.86

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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.