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Finding the Fourth Proportional to 5,223.48, 7,836.54 and 2,410.96

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Solution

The fourth proportional to 5,223.48, 7,836.54 and 2,410.96 is: 3,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.48 : 7,836.54 = 2,410.96 : x
  2. Step 2: Convert to fraction form
    5,223.48/7,836.54 = 2,410.96/x
  3. Step 3: Cross multiply
    5,223.48x = 7,836.54 × 2,410.96
  4. Step 4: Simplify right side
    5,223.48x = 18,893,584.48
  5. Step 5: Solve for x
    x = 18,893,584.48/5,223.48
  6. Step 6: Final answer
    x = 3,617.05

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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.