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Finding the Fourth Proportional to 6,034.87, 9,052.31 and 1,652.36

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Solution

The fourth proportional to 6,034.87, 9,052.31 and 1,652.36 is: 2,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.87 : 9,052.31 = 1,652.36 : x
  2. Step 2: Convert to fraction form
    6,034.87/9,052.31 = 1,652.36/x
  3. Step 3: Cross multiply
    6,034.87x = 9,052.31 × 1,652.36
  4. Step 4: Simplify right side
    6,034.87x = 14,957,666.69
  5. Step 5: Solve for x
    x = 14,957,666.69/6,034.87
  6. Step 6: Final answer
    x = 2,478.54

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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.