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Finding the Fourth Proportional to 5,941.50, 8,199.27 and 3,457.50

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Solution

The fourth proportional to 5,941.50, 8,199.27 and 3,457.50 is: 4,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.50 : 8,199.27 = 3,457.50 : x
  2. Step 2: Convert to fraction form
    5,941.50/8,199.27 = 3,457.50/x
  3. Step 3: Cross multiply
    5,941.50x = 8,199.27 × 3,457.50
  4. Step 4: Simplify right side
    5,941.50x = 28,348,976.03
  5. Step 5: Solve for x
    x = 28,348,976.03/5,941.50
  6. Step 6: Final answer
    x = 4,771.35

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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.