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Finding the Fourth Proportional to 3,507.48, 5,259.69 and 1,863.63

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Solution

The fourth proportional to 3,507.48, 5,259.69 and 1,863.63 is: 2,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.48 : 5,259.69 = 1,863.63 : x
  2. Step 2: Convert to fraction form
    3,507.48/5,259.69 = 1,863.63/x
  3. Step 3: Cross multiply
    3,507.48x = 5,259.69 × 1,863.63
  4. Step 4: Simplify right side
    3,507.48x = 9,802,116.07
  5. Step 5: Solve for x
    x = 9,802,116.07/3,507.48
  6. Step 6: Final answer
    x = 2,794.63

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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.