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Finding the Fourth Proportional to 5,046.36, 6,968.38 and 3,395.16

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Solution

The fourth proportional to 5,046.36, 6,968.38 and 3,395.16 is: 4,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.36 : 6,968.38 = 3,395.16 : x
  2. Step 2: Convert to fraction form
    5,046.36/6,968.38 = 3,395.16/x
  3. Step 3: Cross multiply
    5,046.36x = 6,968.38 × 3,395.16
  4. Step 4: Simplify right side
    5,046.36x = 23,658,765.04
  5. Step 5: Solve for x
    x = 23,658,765.04/5,046.36
  6. Step 6: Final answer
    x = 4,688.28

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Why These Related Problems?

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