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Finding the Fourth Proportional to 3,117.75, 4,676.62 and 1,362.39

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Solution

The fourth proportional to 3,117.75, 4,676.62 and 1,362.39 is: 2,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.75 : 4,676.62 = 1,362.39 : x
  2. Step 2: Convert to fraction form
    3,117.75/4,676.62 = 1,362.39/x
  3. Step 3: Cross multiply
    3,117.75x = 4,676.62 × 1,362.39
  4. Step 4: Simplify right side
    3,117.75x = 6,371,380.32
  5. Step 5: Solve for x
    x = 6,371,380.32/3,117.75
  6. Step 6: Final answer
    x = 2,043.58

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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.