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Finding the Fourth Proportional to 4,142.56, 6,216.27 and 2,971.30

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Solution

The fourth proportional to 4,142.56, 6,216.27 and 2,971.30 is: 4,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.56 : 6,216.27 = 2,971.30 : x
  2. Step 2: Convert to fraction form
    4,142.56/6,216.27 = 2,971.30/x
  3. Step 3: Cross multiply
    4,142.56x = 6,216.27 × 2,971.30
  4. Step 4: Simplify right side
    4,142.56x = 18,470,387.51
  5. Step 5: Solve for x
    x = 18,470,387.51/4,142.56
  6. Step 6: Final answer
    x = 4,458.69

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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.