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Finding the Fourth Proportional to 4,798.82, 7,195.77 and 2,199.50

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Solution

The fourth proportional to 4,798.82, 7,195.77 and 2,199.50 is: 3,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.82 : 7,195.77 = 2,199.50 : x
  2. Step 2: Convert to fraction form
    4,798.82/7,195.77 = 2,199.50/x
  3. Step 3: Cross multiply
    4,798.82x = 7,195.77 × 2,199.50
  4. Step 4: Simplify right side
    4,798.82x = 15,827,096.12
  5. Step 5: Solve for x
    x = 15,827,096.12/4,798.82
  6. Step 6: Final answer
    x = 3,298.12

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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.