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Finding the Fourth Proportional to 5,946.76, 8,203.08 and 3,850.93

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Solution

The fourth proportional to 5,946.76, 8,203.08 and 3,850.93 is: 5,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.76 : 8,203.08 = 3,850.93 : x
  2. Step 2: Convert to fraction form
    5,946.76/8,203.08 = 3,850.93/x
  3. Step 3: Cross multiply
    5,946.76x = 8,203.08 × 3,850.93
  4. Step 4: Simplify right side
    5,946.76x = 31,589,486.86
  5. Step 5: Solve for x
    x = 31,589,486.86/5,946.76
  6. Step 6: Final answer
    x = 5,312.05

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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.