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Finding the Fourth Proportional to 3,403.26, 5,102.06 and 3,129.93

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Solution

The fourth proportional to 3,403.26, 5,102.06 and 3,129.93 is: 4,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.26 : 5,102.06 = 3,129.93 : x
  2. Step 2: Convert to fraction form
    3,403.26/5,102.06 = 3,129.93/x
  3. Step 3: Cross multiply
    3,403.26x = 5,102.06 × 3,129.93
  4. Step 4: Simplify right side
    3,403.26x = 15,969,075.01
  5. Step 5: Solve for x
    x = 15,969,075.01/3,403.26
  6. Step 6: Final answer
    x = 4,692.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.