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Finding the Fourth Proportional to 4,598.50, 6,896.61 and 1,311.62

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Solution

The fourth proportional to 4,598.50, 6,896.61 and 1,311.62 is: 1,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.50 : 6,896.61 = 1,311.62 : x
  2. Step 2: Convert to fraction form
    4,598.50/6,896.61 = 1,311.62/x
  3. Step 3: Cross multiply
    4,598.50x = 6,896.61 × 1,311.62
  4. Step 4: Simplify right side
    4,598.50x = 9,045,735.92
  5. Step 5: Solve for x
    x = 9,045,735.92/4,598.50
  6. Step 6: Final answer
    x = 1,967.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.