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Finding the Fourth Proportional to 5,805.82, 8,011.87 and 3,153.14

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Solution

The fourth proportional to 5,805.82, 8,011.87 and 3,153.14 is: 4,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.82 : 8,011.87 = 3,153.14 : x
  2. Step 2: Convert to fraction form
    5,805.82/8,011.87 = 3,153.14/x
  3. Step 3: Cross multiply
    5,805.82x = 8,011.87 × 3,153.14
  4. Step 4: Simplify right side
    5,805.82x = 25,262,547.77
  5. Step 5: Solve for x
    x = 25,262,547.77/5,805.82
  6. Step 6: Final answer
    x = 4,351.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.