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Finding the Fourth Proportional to 5,698.08, 8,542.80 and 2,232

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Solution

The fourth proportional to 5,698.08, 8,542.80 and 2,232 is: 3,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.08 : 8,542.80 = 2,232 : x
  2. Step 2: Convert to fraction form
    5,698.08/8,542.80 = 2,232/x
  3. Step 3: Cross multiply
    5,698.08x = 8,542.80 × 2,232
  4. Step 4: Simplify right side
    5,698.08x = 19,067,529.60
  5. Step 5: Solve for x
    x = 19,067,529.60/5,698.08
  6. Step 6: Final answer
    x = 3,346.31

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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.