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Finding the Fourth Proportional to 5,845.42, 8,766.81 and 1,684.48

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Solution

The fourth proportional to 5,845.42, 8,766.81 and 1,684.48 is: 2,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.42 : 8,766.81 = 1,684.48 : x
  2. Step 2: Convert to fraction form
    5,845.42/8,766.81 = 1,684.48/x
  3. Step 3: Cross multiply
    5,845.42x = 8,766.81 × 1,684.48
  4. Step 4: Simplify right side
    5,845.42x = 14,767,516.11
  5. Step 5: Solve for x
    x = 14,767,516.11/5,845.42
  6. Step 6: Final answer
    x = 2,526.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.