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Finding the Fourth Proportional to 3,823.80, 5,693.24 and 3,802.20

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Solution

The fourth proportional to 3,823.80, 5,693.24 and 3,802.20 is: 5,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.80 : 5,693.24 = 3,802.20 : x
  2. Step 2: Convert to fraction form
    3,823.80/5,693.24 = 3,802.20/x
  3. Step 3: Cross multiply
    3,823.80x = 5,693.24 × 3,802.20
  4. Step 4: Simplify right side
    3,823.80x = 21,646,837.13
  5. Step 5: Solve for x
    x = 21,646,837.13/3,823.80
  6. Step 6: Final answer
    x = 5,661.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.