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Finding the Fourth Proportional to 3,867.40, 5,804.06 and 2,018.47

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Solution

The fourth proportional to 3,867.40, 5,804.06 and 2,018.47 is: 3,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.40 : 5,804.06 = 2,018.47 : x
  2. Step 2: Convert to fraction form
    3,867.40/5,804.06 = 2,018.47/x
  3. Step 3: Cross multiply
    3,867.40x = 5,804.06 × 2,018.47
  4. Step 4: Simplify right side
    3,867.40x = 11,715,307.27
  5. Step 5: Solve for x
    x = 11,715,307.27/3,867.40
  6. Step 6: Final answer
    x = 3,029.25

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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.