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Finding the Fourth Proportional to 4,588.22, 6,882.07 and 1,256.23

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Solution

The fourth proportional to 4,588.22, 6,882.07 and 1,256.23 is: 1,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.22 : 6,882.07 = 1,256.23 : x
  2. Step 2: Convert to fraction form
    4,588.22/6,882.07 = 1,256.23/x
  3. Step 3: Cross multiply
    4,588.22x = 6,882.07 × 1,256.23
  4. Step 4: Simplify right side
    4,588.22x = 8,645,457.15
  5. Step 5: Solve for x
    x = 8,645,457.15/4,588.22
  6. Step 6: Final answer
    x = 1,884.27

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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.