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Finding the Fourth Proportional to 3,804.60, 5,242.14 and 3,143.64

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Solution

The fourth proportional to 3,804.60, 5,242.14 and 3,143.64 is: 4,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.60 : 5,242.14 = 3,143.64 : x
  2. Step 2: Convert to fraction form
    3,804.60/5,242.14 = 3,143.64/x
  3. Step 3: Cross multiply
    3,804.60x = 5,242.14 × 3,143.64
  4. Step 4: Simplify right side
    3,804.60x = 16,479,400.99
  5. Step 5: Solve for x
    x = 16,479,400.99/3,804.60
  6. Step 6: Final answer
    x = 4,331.44

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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.