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Finding the Fourth Proportional to 4,216.32, 6,324.42 and 1,294.56

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Solution

The fourth proportional to 4,216.32, 6,324.42 and 1,294.56 is: 1,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.32 : 6,324.42 = 1,294.56 : x
  2. Step 2: Convert to fraction form
    4,216.32/6,324.42 = 1,294.56/x
  3. Step 3: Cross multiply
    4,216.32x = 6,324.42 × 1,294.56
  4. Step 4: Simplify right side
    4,216.32x = 8,187,341.16
  5. Step 5: Solve for x
    x = 8,187,341.16/4,216.32
  6. Step 6: Final answer
    x = 1,941.82

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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.