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Finding the Fourth Proportional to 4,136.02, 6,204.02 and 1,214.32

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Solution

The fourth proportional to 4,136.02, 6,204.02 and 1,214.32 is: 1,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.02 : 6,204.02 = 1,214.32 : x
  2. Step 2: Convert to fraction form
    4,136.02/6,204.02 = 1,214.32/x
  3. Step 3: Cross multiply
    4,136.02x = 6,204.02 × 1,214.32
  4. Step 4: Simplify right side
    4,136.02x = 7,533,665.57
  5. Step 5: Solve for x
    x = 7,533,665.57/4,136.02
  6. Step 6: Final answer
    x = 1,821.48

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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.