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Finding the Fourth Proportional to 5,004.26, 7,504.74 and 1,671.77

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Solution

The fourth proportional to 5,004.26, 7,504.74 and 1,671.77 is: 2,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.26 : 7,504.74 = 1,671.77 : x
  2. Step 2: Convert to fraction form
    5,004.26/7,504.74 = 1,671.77/x
  3. Step 3: Cross multiply
    5,004.26x = 7,504.74 × 1,671.77
  4. Step 4: Simplify right side
    5,004.26x = 12,546,161.67
  5. Step 5: Solve for x
    x = 12,546,161.67/5,004.26
  6. Step 6: Final answer
    x = 2,507.10

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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.