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Finding the Fourth Proportional to 5,826, 8,037.60 and 3,837.60

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Solution

The fourth proportional to 5,826, 8,037.60 and 3,837.60 is: 5,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826 : 8,037.60 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    5,826/8,037.60 = 3,837.60/x
  3. Step 3: Cross multiply
    5,826x = 8,037.60 × 3,837.60
  4. Step 4: Simplify right side
    5,826x = 30,845,093.76
  5. Step 5: Solve for x
    x = 30,845,093.76/5,826
  6. Step 6: Final answer
    x = 5,294.39

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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.