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Finding the Fourth Proportional to 4,645.96, 6,968.97 and 1,135.96

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Solution

The fourth proportional to 4,645.96, 6,968.97 and 1,135.96 is: 1,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.96 : 6,968.97 = 1,135.96 : x
  2. Step 2: Convert to fraction form
    4,645.96/6,968.97 = 1,135.96/x
  3. Step 3: Cross multiply
    4,645.96x = 6,968.97 × 1,135.96
  4. Step 4: Simplify right side
    4,645.96x = 7,916,453.74
  5. Step 5: Solve for x
    x = 7,916,453.74/4,645.96
  6. Step 6: Final answer
    x = 1,703.94

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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.