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Finding the Fourth Proportional to 3,507.46, 5,261.22 and 1,653.30

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Solution

The fourth proportional to 3,507.46, 5,261.22 and 1,653.30 is: 2,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.46 : 5,261.22 = 1,653.30 : x
  2. Step 2: Convert to fraction form
    3,507.46/5,261.22 = 1,653.30/x
  3. Step 3: Cross multiply
    3,507.46x = 5,261.22 × 1,653.30
  4. Step 4: Simplify right side
    3,507.46x = 8,698,375.03
  5. Step 5: Solve for x
    x = 8,698,375.03/3,507.46
  6. Step 6: Final answer
    x = 2,479.97

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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.