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Finding the Fourth Proportional to 3,980.74, 5,970.69 and 1,019.20

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Solution

The fourth proportional to 3,980.74, 5,970.69 and 1,019.20 is: 1,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.74 : 5,970.69 = 1,019.20 : x
  2. Step 2: Convert to fraction form
    3,980.74/5,970.69 = 1,019.20/x
  3. Step 3: Cross multiply
    3,980.74x = 5,970.69 × 1,019.20
  4. Step 4: Simplify right side
    3,980.74x = 6,085,327.25
  5. Step 5: Solve for x
    x = 6,085,327.25/3,980.74
  6. Step 6: Final answer
    x = 1,528.69

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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.