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Finding the Fourth Proportional to 3,124.26, 4,696.11 and 3,114.54

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Solution

The fourth proportional to 3,124.26, 4,696.11 and 3,114.54 is: 4,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.26 : 4,696.11 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    3,124.26/4,696.11 = 3,114.54/x
  3. Step 3: Cross multiply
    3,124.26x = 4,696.11 × 3,114.54
  4. Step 4: Simplify right side
    3,124.26x = 14,626,222.44
  5. Step 5: Solve for x
    x = 14,626,222.44/3,124.26
  6. Step 6: Final answer
    x = 4,681.50

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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.