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Finding the Fourth Proportional to 4,316.24, 6,467.22 and 4,154.40

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Solution

The fourth proportional to 4,316.24, 6,467.22 and 4,154.40 is: 6,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.24 : 6,467.22 = 4,154.40 : x
  2. Step 2: Convert to fraction form
    4,316.24/6,467.22 = 4,154.40/x
  3. Step 3: Cross multiply
    4,316.24x = 6,467.22 × 4,154.40
  4. Step 4: Simplify right side
    4,316.24x = 26,867,418.77
  5. Step 5: Solve for x
    x = 26,867,418.77/4,316.24
  6. Step 6: Final answer
    x = 6,224.73

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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.