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Finding the Fourth Proportional to 5,243.40, 7,865.09 and 3,594.94

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Solution

The fourth proportional to 5,243.40, 7,865.09 and 3,594.94 is: 5,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.40 : 7,865.09 = 3,594.94 : x
  2. Step 2: Convert to fraction form
    5,243.40/7,865.09 = 3,594.94/x
  3. Step 3: Cross multiply
    5,243.40x = 7,865.09 × 3,594.94
  4. Step 4: Simplify right side
    5,243.40x = 28,274,567.90
  5. Step 5: Solve for x
    x = 28,274,567.90/5,243.40
  6. Step 6: Final answer
    x = 5,392.42

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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.