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Finding the Fourth Proportional to 3,762.20, 5,635.20 and 3,114.20

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Solution

The fourth proportional to 3,762.20, 5,635.20 and 3,114.20 is: 4,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.20 : 5,635.20 = 3,114.20 : x
  2. Step 2: Convert to fraction form
    3,762.20/5,635.20 = 3,114.20/x
  3. Step 3: Cross multiply
    3,762.20x = 5,635.20 × 3,114.20
  4. Step 4: Simplify right side
    3,762.20x = 17,549,139.84
  5. Step 5: Solve for x
    x = 17,549,139.84/3,762.20
  6. Step 6: Final answer
    x = 4,664.60

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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.