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Finding the Fourth Proportional to 5,957.26, 8,211.46 and 4,696.22

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Solution

The fourth proportional to 5,957.26, 8,211.46 and 4,696.22 is: 6,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.26 : 8,211.46 = 4,696.22 : x
  2. Step 2: Convert to fraction form
    5,957.26/8,211.46 = 4,696.22/x
  3. Step 3: Cross multiply
    5,957.26x = 8,211.46 × 4,696.22
  4. Step 4: Simplify right side
    5,957.26x = 38,562,822.68
  5. Step 5: Solve for x
    x = 38,562,822.68/5,957.26
  6. Step 6: Final answer
    x = 6,473.25

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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.