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Finding the Fourth Proportional to 3,696.63, 5,543.10 and 1,230.59

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Solution

The fourth proportional to 3,696.63, 5,543.10 and 1,230.59 is: 1,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.63 : 5,543.10 = 1,230.59 : x
  2. Step 2: Convert to fraction form
    3,696.63/5,543.10 = 1,230.59/x
  3. Step 3: Cross multiply
    3,696.63x = 5,543.10 × 1,230.59
  4. Step 4: Simplify right side
    3,696.63x = 6,821,255.71
  5. Step 5: Solve for x
    x = 6,821,255.71/3,696.63
  6. Step 6: Final answer
    x = 1,845.26

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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.