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Finding the Fourth Proportional to 3,762.14, 5,192.36 and 3,596.03

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Solution

The fourth proportional to 3,762.14, 5,192.36 and 3,596.03 is: 4,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.14 : 5,192.36 = 3,596.03 : x
  2. Step 2: Convert to fraction form
    3,762.14/5,192.36 = 3,596.03/x
  3. Step 3: Cross multiply
    3,762.14x = 5,192.36 × 3,596.03
  4. Step 4: Simplify right side
    3,762.14x = 18,671,838.39
  5. Step 5: Solve for x
    x = 18,671,838.39/3,762.14
  6. Step 6: Final answer
    x = 4,963.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.