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Finding the Fourth Proportional to 4,200.26, 6,328.84 and 3,485.84

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Solution

The fourth proportional to 4,200.26, 6,328.84 and 3,485.84 is: 5,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.26 : 6,328.84 = 3,485.84 : x
  2. Step 2: Convert to fraction form
    4,200.26/6,328.84 = 3,485.84/x
  3. Step 3: Cross multiply
    4,200.26x = 6,328.84 × 3,485.84
  4. Step 4: Simplify right side
    4,200.26x = 22,061,323.63
  5. Step 5: Solve for x
    x = 22,061,323.63/4,200.26
  6. Step 6: Final answer
    x = 5,252.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.