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Finding the Fourth Proportional to 5,203.81, 7,805.73 and 1,308.19

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Solution

The fourth proportional to 5,203.81, 7,805.73 and 1,308.19 is: 1,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.81 : 7,805.73 = 1,308.19 : x
  2. Step 2: Convert to fraction form
    5,203.81/7,805.73 = 1,308.19/x
  3. Step 3: Cross multiply
    5,203.81x = 7,805.73 × 1,308.19
  4. Step 4: Simplify right side
    5,203.81x = 10,211,377.93
  5. Step 5: Solve for x
    x = 10,211,377.93/5,203.81
  6. Step 6: Final answer
    x = 1,962.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.