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Finding the Fourth Proportional to 4,215, 6,322.24 and 1,293.08

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Solution

The fourth proportional to 4,215, 6,322.24 and 1,293.08 is: 1,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 6,322.24 = 1,293.08 : x
  2. Step 2: Convert to fraction form
    4,215/6,322.24 = 1,293.08/x
  3. Step 3: Cross multiply
    4,215x = 6,322.24 × 1,293.08
  4. Step 4: Simplify right side
    4,215x = 8,175,162.10
  5. Step 5: Solve for x
    x = 8,175,162.10/4,215
  6. Step 6: Final answer
    x = 1,939.54

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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.