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Finding the Fourth Proportional to 3,556.26, 4,907.25 and 2,506.50

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Solution

The fourth proportional to 3,556.26, 4,907.25 and 2,506.50 is: 3,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.26 : 4,907.25 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    3,556.26/4,907.25 = 2,506.50/x
  3. Step 3: Cross multiply
    3,556.26x = 4,907.25 × 2,506.50
  4. Step 4: Simplify right side
    3,556.26x = 12,300,022.13
  5. Step 5: Solve for x
    x = 12,300,022.13/3,556.26
  6. Step 6: Final answer
    x = 3,458.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.