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Finding the Fourth Proportional to 5,230.98, 7,841.00 and 2,308.91

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Solution

The fourth proportional to 5,230.98, 7,841.00 and 2,308.91 is: 3,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.98 : 7,841.00 = 2,308.91 : x
  2. Step 2: Convert to fraction form
    5,230.98/7,841.00 = 2,308.91/x
  3. Step 3: Cross multiply
    5,230.98x = 7,841.00 × 2,308.91
  4. Step 4: Simplify right side
    5,230.98x = 18,104,129.88
  5. Step 5: Solve for x
    x = 18,104,129.88/5,230.98
  6. Step 6: Final answer
    x = 3,460.94

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1.5x scale

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.