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Finding the Fourth Proportional to 4,467.95, 6,702.26 and 1,506.41

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Solution

The fourth proportional to 4,467.95, 6,702.26 and 1,506.41 is: 2,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.95 : 6,702.26 = 1,506.41 : x
  2. Step 2: Convert to fraction form
    4,467.95/6,702.26 = 1,506.41/x
  3. Step 3: Cross multiply
    4,467.95x = 6,702.26 × 1,506.41
  4. Step 4: Simplify right side
    4,467.95x = 10,096,310.44
  5. Step 5: Solve for x
    x = 10,096,310.44/4,467.95
  6. Step 6: Final answer
    x = 2,259.72

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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.