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Finding the Fourth Proportional to 4,314.64, 6,467.22 and 2,461.71

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Solution

The fourth proportional to 4,314.64, 6,467.22 and 2,461.71 is: 3,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.64 : 6,467.22 = 2,461.71 : x
  2. Step 2: Convert to fraction form
    4,314.64/6,467.22 = 2,461.71/x
  3. Step 3: Cross multiply
    4,314.64x = 6,467.22 × 2,461.71
  4. Step 4: Simplify right side
    4,314.64x = 15,920,407.84
  5. Step 5: Solve for x
    x = 15,920,407.84/4,314.64
  6. Step 6: Final answer
    x = 3,689.86

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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.