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Finding the Fourth Proportional to 3,427.60, 4,745.64 and 3,254.80

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Solution

The fourth proportional to 3,427.60, 4,745.64 and 3,254.80 is: 4,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.60 : 4,745.64 = 3,254.80 : x
  2. Step 2: Convert to fraction form
    3,427.60/4,745.64 = 3,254.80/x
  3. Step 3: Cross multiply
    3,427.60x = 4,745.64 × 3,254.80
  4. Step 4: Simplify right side
    3,427.60x = 15,446,109.07
  5. Step 5: Solve for x
    x = 15,446,109.07/3,427.60
  6. Step 6: Final answer
    x = 4,506.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.