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Finding the Fourth Proportional to 4,643.94, 6,968.30 and 3,085.02

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Solution

The fourth proportional to 4,643.94, 6,968.30 and 3,085.02 is: 4,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.94 : 6,968.30 = 3,085.02 : x
  2. Step 2: Convert to fraction form
    4,643.94/6,968.30 = 3,085.02/x
  3. Step 3: Cross multiply
    4,643.94x = 6,968.30 × 3,085.02
  4. Step 4: Simplify right side
    4,643.94x = 21,497,344.87
  5. Step 5: Solve for x
    x = 21,497,344.87/4,643.94
  6. Step 6: Final answer
    x = 4,629.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.