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Finding the Fourth Proportional to 4,643.57, 6,957.26 and 3,868.55

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Solution

The fourth proportional to 4,643.57, 6,957.26 and 3,868.55 is: 5,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.57 : 6,957.26 = 3,868.55 : x
  2. Step 2: Convert to fraction form
    4,643.57/6,957.26 = 3,868.55/x
  3. Step 3: Cross multiply
    4,643.57x = 6,957.26 × 3,868.55
  4. Step 4: Simplify right side
    4,643.57x = 26,914,506.22
  5. Step 5: Solve for x
    x = 26,914,506.22/4,643.57
  6. Step 6: Final answer
    x = 5,796.08

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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.