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Finding the Fourth Proportional to 3,602.48, 5,396.22 and 3,164.27

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Solution

The fourth proportional to 3,602.48, 5,396.22 and 3,164.27 is: 4,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.48 : 5,396.22 = 3,164.27 : x
  2. Step 2: Convert to fraction form
    3,602.48/5,396.22 = 3,164.27/x
  3. Step 3: Cross multiply
    3,602.48x = 5,396.22 × 3,164.27
  4. Step 4: Simplify right side
    3,602.48x = 17,075,070.08
  5. Step 5: Solve for x
    x = 17,075,070.08/3,602.48
  6. Step 6: Final answer
    x = 4,739.82

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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.