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Finding the Fourth Proportional to 3,706.20, 5,559.30 and 1,978.20

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Solution

The fourth proportional to 3,706.20, 5,559.30 and 1,978.20 is: 2,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.20 : 5,559.30 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    3,706.20/5,559.30 = 1,978.20/x
  3. Step 3: Cross multiply
    3,706.20x = 5,559.30 × 1,978.20
  4. Step 4: Simplify right side
    3,706.20x = 10,997,407.26
  5. Step 5: Solve for x
    x = 10,997,407.26/3,706.20
  6. Step 6: Final answer
    x = 2,967.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.