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Finding the Fourth Proportional to 4,821.85, 7,233.32 and 1,533.79

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Solution

The fourth proportional to 4,821.85, 7,233.32 and 1,533.79 is: 2,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.85 : 7,233.32 = 1,533.79 : x
  2. Step 2: Convert to fraction form
    4,821.85/7,233.32 = 1,533.79/x
  3. Step 3: Cross multiply
    4,821.85x = 7,233.32 × 1,533.79
  4. Step 4: Simplify right side
    4,821.85x = 11,094,393.88
  5. Step 5: Solve for x
    x = 11,094,393.88/4,821.85
  6. Step 6: Final answer
    x = 2,300.86

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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.