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Finding the Fourth Proportional to 4,038.12, 6,019.02 and 3,840.75

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Solution

The fourth proportional to 4,038.12, 6,019.02 and 3,840.75 is: 5,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.12 : 6,019.02 = 3,840.75 : x
  2. Step 2: Convert to fraction form
    4,038.12/6,019.02 = 3,840.75/x
  3. Step 3: Cross multiply
    4,038.12x = 6,019.02 × 3,840.75
  4. Step 4: Simplify right side
    4,038.12x = 23,117,551.07
  5. Step 5: Solve for x
    x = 23,117,551.07/4,038.12
  6. Step 6: Final answer
    x = 5,724.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.