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Finding the Fourth Proportional to 4,578.93, 6,873.26 and 1,983.69

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Solution

The fourth proportional to 4,578.93, 6,873.26 and 1,983.69 is: 2,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.93 : 6,873.26 = 1,983.69 : x
  2. Step 2: Convert to fraction form
    4,578.93/6,873.26 = 1,983.69/x
  3. Step 3: Cross multiply
    4,578.93x = 6,873.26 × 1,983.69
  4. Step 4: Simplify right side
    4,578.93x = 13,634,407.21
  5. Step 5: Solve for x
    x = 13,634,407.21/4,578.93
  6. Step 6: Final answer
    x = 2,977.64

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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.