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Finding the Fourth Proportional to 5,199.81, 7,798.10 and 1,736.25

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Solution

The fourth proportional to 5,199.81, 7,798.10 and 1,736.25 is: 2,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.81 : 7,798.10 = 1,736.25 : x
  2. Step 2: Convert to fraction form
    5,199.81/7,798.10 = 1,736.25/x
  3. Step 3: Cross multiply
    5,199.81x = 7,798.10 × 1,736.25
  4. Step 4: Simplify right side
    5,199.81x = 13,539,442.44
  5. Step 5: Solve for x
    x = 13,539,442.44/5,199.81
  6. Step 6: Final answer
    x = 2,603.83

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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.