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Finding the Fourth Proportional to 3,514.59, 5,268.65 and 1,782.81

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Solution

The fourth proportional to 3,514.59, 5,268.65 and 1,782.81 is: 2,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.59 : 5,268.65 = 1,782.81 : x
  2. Step 2: Convert to fraction form
    3,514.59/5,268.65 = 1,782.81/x
  3. Step 3: Cross multiply
    3,514.59x = 5,268.65 × 1,782.81
  4. Step 4: Simplify right side
    3,514.59x = 9,392,992.99
  5. Step 5: Solve for x
    x = 9,392,992.99/3,514.59
  6. Step 6: Final answer
    x = 2,672.57

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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.