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Finding the Fourth Proportional to 5,731.86, 8,599.14 and 1,782.92

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Solution

The fourth proportional to 5,731.86, 8,599.14 and 1,782.92 is: 2,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.86 : 8,599.14 = 1,782.92 : x
  2. Step 2: Convert to fraction form
    5,731.86/8,599.14 = 1,782.92/x
  3. Step 3: Cross multiply
    5,731.86x = 8,599.14 × 1,782.92
  4. Step 4: Simplify right side
    5,731.86x = 15,331,600.19
  5. Step 5: Solve for x
    x = 15,331,600.19/5,731.86
  6. Step 6: Final answer
    x = 2,674.80

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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.