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Finding the Fourth Proportional to 4,626.36, 6,941.80 and 2,160.80

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Solution

The fourth proportional to 4,626.36, 6,941.80 and 2,160.80 is: 3,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.36 : 6,941.80 = 2,160.80 : x
  2. Step 2: Convert to fraction form
    4,626.36/6,941.80 = 2,160.80/x
  3. Step 3: Cross multiply
    4,626.36x = 6,941.80 × 2,160.80
  4. Step 4: Simplify right side
    4,626.36x = 14,999,841.44
  5. Step 5: Solve for x
    x = 14,999,841.44/4,626.36
  6. Step 6: Final answer
    x = 3,242.26

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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.