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Finding the Fourth Proportional to 3,586.68, 5,379.08 and 989.01

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Solution

The fourth proportional to 3,586.68, 5,379.08 and 989.01 is: 1,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.68 : 5,379.08 = 989.01 : x
  2. Step 2: Convert to fraction form
    3,586.68/5,379.08 = 989.01/x
  3. Step 3: Cross multiply
    3,586.68x = 5,379.08 × 989.01
  4. Step 4: Simplify right side
    3,586.68x = 5,319,958.97
  5. Step 5: Solve for x
    x = 5,319,958.97/3,586.68
  6. Step 6: Final answer
    x = 1,483.25

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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.