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Finding the Fourth Proportional to 3,838.02, 5,300.10 and 3,630.94

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Solution

The fourth proportional to 3,838.02, 5,300.10 and 3,630.94 is: 5,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.02 : 5,300.10 = 3,630.94 : x
  2. Step 2: Convert to fraction form
    3,838.02/5,300.10 = 3,630.94/x
  3. Step 3: Cross multiply
    3,838.02x = 5,300.10 × 3,630.94
  4. Step 4: Simplify right side
    3,838.02x = 19,244,345.09
  5. Step 5: Solve for x
    x = 19,244,345.09/3,838.02
  6. Step 6: Final answer
    x = 5,014.13

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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.