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Finding the Fourth Proportional to 4,821.86, 7,233.48 and 1,533.84

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Solution

The fourth proportional to 4,821.86, 7,233.48 and 1,533.84 is: 2,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.86 : 7,233.48 = 1,533.84 : x
  2. Step 2: Convert to fraction form
    4,821.86/7,233.48 = 1,533.84/x
  3. Step 3: Cross multiply
    4,821.86x = 7,233.48 × 1,533.84
  4. Step 4: Simplify right side
    4,821.86x = 11,095,000.96
  5. Step 5: Solve for x
    x = 11,095,000.96/4,821.86
  6. Step 6: Final answer
    x = 2,300.98

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Why These Related Problems?

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