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Finding the Fourth Proportional to 3,485.42, 5,226.49 and 2,024.98

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Solution

The fourth proportional to 3,485.42, 5,226.49 and 2,024.98 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.42 : 5,226.49 = 2,024.98 : x
  2. Step 2: Convert to fraction form
    3,485.42/5,226.49 = 2,024.98/x
  3. Step 3: Cross multiply
    3,485.42x = 5,226.49 × 2,024.98
  4. Step 4: Simplify right side
    3,485.42x = 10,583,537.72
  5. Step 5: Solve for x
    x = 10,583,537.72/3,485.42
  6. Step 6: Final answer
    x = 3,036.52

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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.