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Finding the Fourth Proportional to 5,945.34, 8,909.37 and 3,334.98

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Solution

The fourth proportional to 5,945.34, 8,909.37 and 3,334.98 is: 4,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.34 : 8,909.37 = 3,334.98 : x
  2. Step 2: Convert to fraction form
    5,945.34/8,909.37 = 3,334.98/x
  3. Step 3: Cross multiply
    5,945.34x = 8,909.37 × 3,334.98
  4. Step 4: Simplify right side
    5,945.34x = 29,712,570.76
  5. Step 5: Solve for x
    x = 29,712,570.76/5,945.34
  6. Step 6: Final answer
    x = 4,997.62

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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.