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Finding the Fourth Proportional to 4,316.79, 6,468.80 and 2,234.01

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Solution

The fourth proportional to 4,316.79, 6,468.80 and 2,234.01 is: 3,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.79 : 6,468.80 = 2,234.01 : x
  2. Step 2: Convert to fraction form
    4,316.79/6,468.80 = 2,234.01/x
  3. Step 3: Cross multiply
    4,316.79x = 6,468.80 × 2,234.01
  4. Step 4: Simplify right side
    4,316.79x = 14,451,352.72
  5. Step 5: Solve for x
    x = 14,451,352.72/4,316.79
  6. Step 6: Final answer
    x = 3,347.71

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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.