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Finding the Fourth Proportional to 5,567.47, 7,678.34 and 3,971.07

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Solution

The fourth proportional to 5,567.47, 7,678.34 and 3,971.07 is: 5,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.47 : 7,678.34 = 3,971.07 : x
  2. Step 2: Convert to fraction form
    5,567.47/7,678.34 = 3,971.07/x
  3. Step 3: Cross multiply
    5,567.47x = 7,678.34 × 3,971.07
  4. Step 4: Simplify right side
    5,567.47x = 30,491,224.96
  5. Step 5: Solve for x
    x = 30,491,224.96/5,567.47
  6. Step 6: Final answer
    x = 5,476.68

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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.