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Finding the Fourth Proportional to 4,342.03, 6,514.31 and 1,744.81

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Solution

The fourth proportional to 4,342.03, 6,514.31 and 1,744.81 is: 2,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.03 : 6,514.31 = 1,744.81 : x
  2. Step 2: Convert to fraction form
    4,342.03/6,514.31 = 1,744.81/x
  3. Step 3: Cross multiply
    4,342.03x = 6,514.31 × 1,744.81
  4. Step 4: Simplify right side
    4,342.03x = 11,366,224.51
  5. Step 5: Solve for x
    x = 11,366,224.51/4,342.03
  6. Step 6: Final answer
    x = 2,617.72

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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.