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Finding the Fourth Proportional to 3,583.67, 5,374.90 and 986

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Solution

The fourth proportional to 3,583.67, 5,374.90 and 986 is: 1,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.67 : 5,374.90 = 986 : x
  2. Step 2: Convert to fraction form
    3,583.67/5,374.90 = 986/x
  3. Step 3: Cross multiply
    3,583.67x = 5,374.90 × 986
  4. Step 4: Simplify right side
    3,583.67x = 5,299,646.47
  5. Step 5: Solve for x
    x = 5,299,646.47/3,583.67
  6. Step 6: Final answer
    x = 1,478.83

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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.