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Finding the Fourth Proportional to 4,802.05, 7,203.93 and 1,639.32

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Solution

The fourth proportional to 4,802.05, 7,203.93 and 1,639.32 is: 2,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.05 : 7,203.93 = 1,639.32 : x
  2. Step 2: Convert to fraction form
    4,802.05/7,203.93 = 1,639.32/x
  3. Step 3: Cross multiply
    4,802.05x = 7,203.93 × 1,639.32
  4. Step 4: Simplify right side
    4,802.05x = 11,809,546.53
  5. Step 5: Solve for x
    x = 11,809,546.53/4,802.05
  6. Step 6: Final answer
    x = 2,459.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.