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Finding the Fourth Proportional to 4,823.88, 7,236.36 and 1,536.21

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Solution

The fourth proportional to 4,823.88, 7,236.36 and 1,536.21 is: 2,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.88 : 7,236.36 = 1,536.21 : x
  2. Step 2: Convert to fraction form
    4,823.88/7,236.36 = 1,536.21/x
  3. Step 3: Cross multiply
    4,823.88x = 7,236.36 × 1,536.21
  4. Step 4: Simplify right side
    4,823.88x = 11,116,568.60
  5. Step 5: Solve for x
    x = 11,116,568.60/4,823.88
  6. Step 6: Final answer
    x = 2,304.49

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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.