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Finding the Fourth Proportional to 4,696.48, 7,048.27 and 3,212.16

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Solution

The fourth proportional to 4,696.48, 7,048.27 and 3,212.16 is: 4,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.48 : 7,048.27 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    4,696.48/7,048.27 = 3,212.16/x
  3. Step 3: Cross multiply
    4,696.48x = 7,048.27 × 3,212.16
  4. Step 4: Simplify right side
    4,696.48x = 22,640,148.55
  5. Step 5: Solve for x
    x = 22,640,148.55/4,696.48
  6. Step 6: Final answer
    x = 4,820.66

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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.