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Finding the Fourth Proportional to 3,841.26, 5,765.90 and 3,405.30

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Solution

The fourth proportional to 3,841.26, 5,765.90 and 3,405.30 is: 5,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.26 : 5,765.90 = 3,405.30 : x
  2. Step 2: Convert to fraction form
    3,841.26/5,765.90 = 3,405.30/x
  3. Step 3: Cross multiply
    3,841.26x = 5,765.90 × 3,405.30
  4. Step 4: Simplify right side
    3,841.26x = 19,634,602.24
  5. Step 5: Solve for x
    x = 19,634,602.24/3,841.26
  6. Step 6: Final answer
    x = 5,111.50

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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.