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Finding the Fourth Proportional to 5,694.96, 8,498.34 and 5,038.86

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Solution

The fourth proportional to 5,694.96, 8,498.34 and 5,038.86 is: 7,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.96 : 8,498.34 = 5,038.86 : x
  2. Step 2: Convert to fraction form
    5,694.96/8,498.34 = 5,038.86/x
  3. Step 3: Cross multiply
    5,694.96x = 8,498.34 × 5,038.86
  4. Step 4: Simplify right side
    5,694.96x = 42,821,945.49
  5. Step 5: Solve for x
    x = 42,821,945.49/5,694.96
  6. Step 6: Final answer
    x = 7,519.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.