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Finding the Fourth Proportional to 4,593.02, 6,890.69 and 1,306.12

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Solution

The fourth proportional to 4,593.02, 6,890.69 and 1,306.12 is: 1,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.02 : 6,890.69 = 1,306.12 : x
  2. Step 2: Convert to fraction form
    4,593.02/6,890.69 = 1,306.12/x
  3. Step 3: Cross multiply
    4,593.02x = 6,890.69 × 1,306.12
  4. Step 4: Simplify right side
    4,593.02x = 9,000,033.57
  5. Step 5: Solve for x
    x = 9,000,033.57/4,593.02
  6. Step 6: Final answer
    x = 1,959.50

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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.