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Finding the Fourth Proportional to 4,619.64, 6,932.22 and 1,698.24

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Solution

The fourth proportional to 4,619.64, 6,932.22 and 1,698.24 is: 2,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.64 : 6,932.22 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    4,619.64/6,932.22 = 1,698.24/x
  3. Step 3: Cross multiply
    4,619.64x = 6,932.22 × 1,698.24
  4. Step 4: Simplify right side
    4,619.64x = 11,772,573.29
  5. Step 5: Solve for x
    x = 11,772,573.29/4,619.64
  6. Step 6: Final answer
    x = 2,548.37

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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.