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Finding the Fourth Proportional to 4,645.69, 6,968.54 and 1,135.69

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Solution

The fourth proportional to 4,645.69, 6,968.54 and 1,135.69 is: 1,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.69 : 6,968.54 = 1,135.69 : x
  2. Step 2: Convert to fraction form
    4,645.69/6,968.54 = 1,135.69/x
  3. Step 3: Cross multiply
    4,645.69x = 6,968.54 × 1,135.69
  4. Step 4: Simplify right side
    4,645.69x = 7,914,101.19
  5. Step 5: Solve for x
    x = 7,914,101.19/4,645.69
  6. Step 6: Final answer
    x = 1,703.54

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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.