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Finding the Fourth Proportional to 5,567.82, 7,684.52 and 4,239.02

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Solution

The fourth proportional to 5,567.82, 7,684.52 and 4,239.02 is: 5,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.82 : 7,684.52 = 4,239.02 : x
  2. Step 2: Convert to fraction form
    5,567.82/7,684.52 = 4,239.02/x
  3. Step 3: Cross multiply
    5,567.82x = 7,684.52 × 4,239.02
  4. Step 4: Simplify right side
    5,567.82x = 32,574,774.35
  5. Step 5: Solve for x
    x = 32,574,774.35/5,567.82
  6. Step 6: Final answer
    x = 5,850.54

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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.