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Finding the Fourth Proportional to 4,718.97, 7,078.41 and 1,256.22

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Solution

The fourth proportional to 4,718.97, 7,078.41 and 1,256.22 is: 1,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.97 : 7,078.41 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    4,718.97/7,078.41 = 1,256.22/x
  3. Step 3: Cross multiply
    4,718.97x = 7,078.41 × 1,256.22
  4. Step 4: Simplify right side
    4,718.97x = 8,892,040.21
  5. Step 5: Solve for x
    x = 8,892,040.21/4,718.97
  6. Step 6: Final answer
    x = 1,884.32

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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.