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Finding the Fourth Proportional to 3,098.21, 4,647.35 and 789.71

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Solution

The fourth proportional to 3,098.21, 4,647.35 and 789.71 is: 1,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.21 : 4,647.35 = 789.71 : x
  2. Step 2: Convert to fraction form
    3,098.21/4,647.35 = 789.71/x
  3. Step 3: Cross multiply
    3,098.21x = 4,647.35 × 789.71
  4. Step 4: Simplify right side
    3,098.21x = 3,670,058.77
  5. Step 5: Solve for x
    x = 3,670,058.77/3,098.21
  6. Step 6: Final answer
    x = 1,184.57

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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.