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Finding the Fourth Proportional to 3,802.29, 5,252.21 and 3,059.06

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Solution

The fourth proportional to 3,802.29, 5,252.21 and 3,059.06 is: 4,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.29 : 5,252.21 = 3,059.06 : x
  2. Step 2: Convert to fraction form
    3,802.29/5,252.21 = 3,059.06/x
  3. Step 3: Cross multiply
    3,802.29x = 5,252.21 × 3,059.06
  4. Step 4: Simplify right side
    3,802.29x = 16,066,783.97
  5. Step 5: Solve for x
    x = 16,066,783.97/3,802.29
  6. Step 6: Final answer
    x = 4,225.55

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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.