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Finding the Fourth Proportional to 3,898.58, 5,840.33 and 3,020.58

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Solution

The fourth proportional to 3,898.58, 5,840.33 and 3,020.58 is: 4,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.58 : 5,840.33 = 3,020.58 : x
  2. Step 2: Convert to fraction form
    3,898.58/5,840.33 = 3,020.58/x
  3. Step 3: Cross multiply
    3,898.58x = 5,840.33 × 3,020.58
  4. Step 4: Simplify right side
    3,898.58x = 17,641,168.89
  5. Step 5: Solve for x
    x = 17,641,168.89/3,898.58
  6. Step 6: Final answer
    x = 4,525.03

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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.