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Finding the Fourth Proportional to 5,028.34, 7,542.51 and 1,741.43

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Solution

The fourth proportional to 5,028.34, 7,542.51 and 1,741.43 is: 2,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.34 : 7,542.51 = 1,741.43 : x
  2. Step 2: Convert to fraction form
    5,028.34/7,542.51 = 1,741.43/x
  3. Step 3: Cross multiply
    5,028.34x = 7,542.51 × 1,741.43
  4. Step 4: Simplify right side
    5,028.34x = 13,134,763.23
  5. Step 5: Solve for x
    x = 13,134,763.23/5,028.34
  6. Step 6: Final answer
    x = 2,612.15

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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.