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Finding the Fourth Proportional to 5,694.48, 8,541.90 and 2,407.68

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Solution

The fourth proportional to 5,694.48, 8,541.90 and 2,407.68 is: 3,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.48 : 8,541.90 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    5,694.48/8,541.90 = 2,407.68/x
  3. Step 3: Cross multiply
    5,694.48x = 8,541.90 × 2,407.68
  4. Step 4: Simplify right side
    5,694.48x = 20,566,161.79
  5. Step 5: Solve for x
    x = 20,566,161.79/5,694.48
  6. Step 6: Final answer
    x = 3,611.60

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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.