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Finding the Fourth Proportional to 4,017.60, 6,022.62 and 1,419.12

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Solution

The fourth proportional to 4,017.60, 6,022.62 and 1,419.12 is: 2,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.60 : 6,022.62 = 1,419.12 : x
  2. Step 2: Convert to fraction form
    4,017.60/6,022.62 = 1,419.12/x
  3. Step 3: Cross multiply
    4,017.60x = 6,022.62 × 1,419.12
  4. Step 4: Simplify right side
    4,017.60x = 8,546,820.49
  5. Step 5: Solve for x
    x = 8,546,820.49/4,017.60
  6. Step 6: Final answer
    x = 2,127.34

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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.