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Finding the Fourth Proportional to 5,684.79, 8,516.03 and 3,212.07

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Solution

The fourth proportional to 5,684.79, 8,516.03 and 3,212.07 is: 4,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.79 : 8,516.03 = 3,212.07 : x
  2. Step 2: Convert to fraction form
    5,684.79/8,516.03 = 3,212.07/x
  3. Step 3: Cross multiply
    5,684.79x = 8,516.03 × 3,212.07
  4. Step 4: Simplify right side
    5,684.79x = 27,354,068.42
  5. Step 5: Solve for x
    x = 27,354,068.42/5,684.79
  6. Step 6: Final answer
    x = 4,811.80

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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.