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Finding the Fourth Proportional to 5,969.61, 8,237.43 and 3,451.32

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Solution

The fourth proportional to 5,969.61, 8,237.43 and 3,451.32 is: 4,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.61 : 8,237.43 = 3,451.32 : x
  2. Step 2: Convert to fraction form
    5,969.61/8,237.43 = 3,451.32/x
  3. Step 3: Cross multiply
    5,969.61x = 8,237.43 × 3,451.32
  4. Step 4: Simplify right side
    5,969.61x = 28,430,006.91
  5. Step 5: Solve for x
    x = 28,430,006.91/5,969.61
  6. Step 6: Final answer
    x = 4,762.46

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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.