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Finding the Fourth Proportional to 3,802.10, 5,338.30 and 3,802.10

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Solution

The fourth proportional to 3,802.10, 5,338.30 and 3,802.10 is: 5,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.10 : 5,338.30 = 3,802.10 : x
  2. Step 2: Convert to fraction form
    3,802.10/5,338.30 = 3,802.10/x
  3. Step 3: Cross multiply
    3,802.10x = 5,338.30 × 3,802.10
  4. Step 4: Simplify right side
    3,802.10x = 20,296,750.43
  5. Step 5: Solve for x
    x = 20,296,750.43/3,802.10
  6. Step 6: Final answer
    x = 5,338.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.