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Finding the Fourth Proportional to 4,019.25, 6,032.15 and 2,072.01

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Solution

The fourth proportional to 4,019.25, 6,032.15 and 2,072.01 is: 3,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.25 : 6,032.15 = 2,072.01 : x
  2. Step 2: Convert to fraction form
    4,019.25/6,032.15 = 2,072.01/x
  3. Step 3: Cross multiply
    4,019.25x = 6,032.15 × 2,072.01
  4. Step 4: Simplify right side
    4,019.25x = 12,498,664.76
  5. Step 5: Solve for x
    x = 12,498,664.76/4,019.25
  6. Step 6: Final answer
    x = 3,109.70

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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.