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Finding the Fourth Proportional to 3,602.68, 5,406.18 and 1,294.36

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Solution

The fourth proportional to 3,602.68, 5,406.18 and 1,294.36 is: 1,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.68 : 5,406.18 = 1,294.36 : x
  2. Step 2: Convert to fraction form
    3,602.68/5,406.18 = 1,294.36/x
  3. Step 3: Cross multiply
    3,602.68x = 5,406.18 × 1,294.36
  4. Step 4: Simplify right side
    3,602.68x = 6,997,543.14
  5. Step 5: Solve for x
    x = 6,997,543.14/3,602.68
  6. Step 6: Final answer
    x = 1,942.32

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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.