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Finding the Fourth Proportional to 4,197.73, 6,298.08 and 2,350.44

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Solution

The fourth proportional to 4,197.73, 6,298.08 and 2,350.44 is: 3,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.73 : 6,298.08 = 2,350.44 : x
  2. Step 2: Convert to fraction form
    4,197.73/6,298.08 = 2,350.44/x
  3. Step 3: Cross multiply
    4,197.73x = 6,298.08 × 2,350.44
  4. Step 4: Simplify right side
    4,197.73x = 14,803,259.16
  5. Step 5: Solve for x
    x = 14,803,259.16/4,197.73
  6. Step 6: Final answer
    x = 3,526.49

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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.