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Finding the Fourth Proportional to 5,567.25, 7,682.82 and 3,083.25

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Solution

The fourth proportional to 5,567.25, 7,682.82 and 3,083.25 is: 4,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.25 : 7,682.82 = 3,083.25 : x
  2. Step 2: Convert to fraction form
    5,567.25/7,682.82 = 3,083.25/x
  3. Step 3: Cross multiply
    5,567.25x = 7,682.82 × 3,083.25
  4. Step 4: Simplify right side
    5,567.25x = 23,688,054.77
  5. Step 5: Solve for x
    x = 23,688,054.77/5,567.25
  6. Step 6: Final answer
    x = 4,254.89

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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.