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Finding the Fourth Proportional to 4,822.64, 7,234.80 and 1,535.84

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Solution

The fourth proportional to 4,822.64, 7,234.80 and 1,535.84 is: 2,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.64 : 7,234.80 = 1,535.84 : x
  2. Step 2: Convert to fraction form
    4,822.64/7,234.80 = 1,535.84/x
  3. Step 3: Cross multiply
    4,822.64x = 7,234.80 × 1,535.84
  4. Step 4: Simplify right side
    4,822.64x = 11,111,495.23
  5. Step 5: Solve for x
    x = 11,111,495.23/4,822.64
  6. Step 6: Final answer
    x = 2,304.03

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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.