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Finding the Fourth Proportional to 4,364.57, 6,542.30 and 1,898.73

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Solution

The fourth proportional to 4,364.57, 6,542.30 and 1,898.73 is: 2,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.57 : 6,542.30 = 1,898.73 : x
  2. Step 2: Convert to fraction form
    4,364.57/6,542.30 = 1,898.73/x
  3. Step 3: Cross multiply
    4,364.57x = 6,542.30 × 1,898.73
  4. Step 4: Simplify right side
    4,364.57x = 12,422,051.79
  5. Step 5: Solve for x
    x = 12,422,051.79/4,364.57
  6. Step 6: Final answer
    x = 2,846.11

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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.