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Finding the Fourth Proportional to 4,820.54, 7,230.67 and 1,533.83

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Solution

The fourth proportional to 4,820.54, 7,230.67 and 1,533.83 is: 2,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.54 : 7,230.67 = 1,533.83 : x
  2. Step 2: Convert to fraction form
    4,820.54/7,230.67 = 1,533.83/x
  3. Step 3: Cross multiply
    4,820.54x = 7,230.67 × 1,533.83
  4. Step 4: Simplify right side
    4,820.54x = 11,090,578.58
  5. Step 5: Solve for x
    x = 11,090,578.58/4,820.54
  6. Step 6: Final answer
    x = 2,300.69

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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.