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Finding the Fourth Proportional to 5,024.34, 6,933.80 and 3,034.51

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Solution

The fourth proportional to 5,024.34, 6,933.80 and 3,034.51 is: 4,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.34 : 6,933.80 = 3,034.51 : x
  2. Step 2: Convert to fraction form
    5,024.34/6,933.80 = 3,034.51/x
  3. Step 3: Cross multiply
    5,024.34x = 6,933.80 × 3,034.51
  4. Step 4: Simplify right side
    5,024.34x = 21,040,652.93
  5. Step 5: Solve for x
    x = 21,040,652.93/5,024.34
  6. Step 6: Final answer
    x = 4,187.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.