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Finding the Fourth Proportional to 4,770.66, 6,582.42 and 3,091.26

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Solution

The fourth proportional to 4,770.66, 6,582.42 and 3,091.26 is: 4,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.66 : 6,582.42 = 3,091.26 : x
  2. Step 2: Convert to fraction form
    4,770.66/6,582.42 = 3,091.26/x
  3. Step 3: Cross multiply
    4,770.66x = 6,582.42 × 3,091.26
  4. Step 4: Simplify right side
    4,770.66x = 20,347,971.65
  5. Step 5: Solve for x
    x = 20,347,971.65/4,770.66
  6. Step 6: Final answer
    x = 4,265.23

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