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Finding the Fourth Proportional to 6,259.80, 9,392.40 and 3,181.80

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Solution

The fourth proportional to 6,259.80, 9,392.40 and 3,181.80 is: 4,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.80 : 9,392.40 = 3,181.80 : x
  2. Step 2: Convert to fraction form
    6,259.80/9,392.40 = 3,181.80/x
  3. Step 3: Cross multiply
    6,259.80x = 9,392.40 × 3,181.80
  4. Step 4: Simplify right side
    6,259.80x = 29,884,738.32
  5. Step 5: Solve for x
    x = 29,884,738.32/6,259.80
  6. Step 6: Final answer
    x = 4,774.07

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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.