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Finding the Fourth Proportional to 4,215.72, 6,322.84 and 1,137

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Solution

The fourth proportional to 4,215.72, 6,322.84 and 1,137 is: 1,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.72 : 6,322.84 = 1,137 : x
  2. Step 2: Convert to fraction form
    4,215.72/6,322.84 = 1,137/x
  3. Step 3: Cross multiply
    4,215.72x = 6,322.84 × 1,137
  4. Step 4: Simplify right side
    4,215.72x = 7,189,069.08
  5. Step 5: Solve for x
    x = 7,189,069.08/4,215.72
  6. Step 6: Final answer
    x = 1,705.30

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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.