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Finding the Fourth Proportional to 4,802.49, 7,183.89 and 4,388.58

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Solution

The fourth proportional to 4,802.49, 7,183.89 and 4,388.58 is: 6,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.49 : 7,183.89 = 4,388.58 : x
  2. Step 2: Convert to fraction form
    4,802.49/7,183.89 = 4,388.58/x
  3. Step 3: Cross multiply
    4,802.49x = 7,183.89 × 4,388.58
  4. Step 4: Simplify right side
    4,802.49x = 31,527,075.98
  5. Step 5: Solve for x
    x = 31,527,075.98/4,802.49
  6. Step 6: Final answer
    x = 6,564.74

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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.