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Finding the Fourth Proportional to 4,219.62, 6,322.92 and 1,752.36

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Solution

The fourth proportional to 4,219.62, 6,322.92 and 1,752.36 is: 2,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.62 : 6,322.92 = 1,752.36 : x
  2. Step 2: Convert to fraction form
    4,219.62/6,322.92 = 1,752.36/x
  3. Step 3: Cross multiply
    4,219.62x = 6,322.92 × 1,752.36
  4. Step 4: Simplify right side
    4,219.62x = 11,080,032.09
  5. Step 5: Solve for x
    x = 11,080,032.09/4,219.62
  6. Step 6: Final answer
    x = 2,625.84

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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.