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Finding the Fourth Proportional to 4,215.44, 6,322.02 and 1,253.88

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Solution

The fourth proportional to 4,215.44, 6,322.02 and 1,253.88 is: 1,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.44 : 6,322.02 = 1,253.88 : x
  2. Step 2: Convert to fraction form
    4,215.44/6,322.02 = 1,253.88/x
  3. Step 3: Cross multiply
    4,215.44x = 6,322.02 × 1,253.88
  4. Step 4: Simplify right side
    4,215.44x = 7,927,054.44
  5. Step 5: Solve for x
    x = 7,927,054.44/4,215.44
  6. Step 6: Final answer
    x = 1,880.48

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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.