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Finding the Fourth Proportional to 3,089.73, 4,634.53 and 898.37

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Solution

The fourth proportional to 3,089.73, 4,634.53 and 898.37 is: 1,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.73 : 4,634.53 = 898.37 : x
  2. Step 2: Convert to fraction form
    3,089.73/4,634.53 = 898.37/x
  3. Step 3: Cross multiply
    3,089.73x = 4,634.53 × 898.37
  4. Step 4: Simplify right side
    3,089.73x = 4,163,497.30
  5. Step 5: Solve for x
    x = 4,163,497.30/3,089.73
  6. Step 6: Final answer
    x = 1,347.53

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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.