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Finding the Fourth Proportional to 5,833.14, 8,746.74 and 2,134.41

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Solution

The fourth proportional to 5,833.14, 8,746.74 and 2,134.41 is: 3,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.14 : 8,746.74 = 2,134.41 : x
  2. Step 2: Convert to fraction form
    5,833.14/8,746.74 = 2,134.41/x
  3. Step 3: Cross multiply
    5,833.14x = 8,746.74 × 2,134.41
  4. Step 4: Simplify right side
    5,833.14x = 18,669,129.32
  5. Step 5: Solve for x
    x = 18,669,129.32/5,833.14
  6. Step 6: Final answer
    x = 3,200.53

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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.