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Finding the Fourth Proportional to 4,836.96, 7,254.96 and 1,549.47

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Solution

The fourth proportional to 4,836.96, 7,254.96 and 1,549.47 is: 2,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.96 : 7,254.96 = 1,549.47 : x
  2. Step 2: Convert to fraction form
    4,836.96/7,254.96 = 1,549.47/x
  3. Step 3: Cross multiply
    4,836.96x = 7,254.96 × 1,549.47
  4. Step 4: Simplify right side
    4,836.96x = 11,241,342.87
  5. Step 5: Solve for x
    x = 11,241,342.87/4,836.96
  6. Step 6: Final answer
    x = 2,324.05

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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.