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Finding the Fourth Proportional to 3,524.54, 5,287.41 and 1,215.50

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Solution

The fourth proportional to 3,524.54, 5,287.41 and 1,215.50 is: 1,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.54 : 5,287.41 = 1,215.50 : x
  2. Step 2: Convert to fraction form
    3,524.54/5,287.41 = 1,215.50/x
  3. Step 3: Cross multiply
    3,524.54x = 5,287.41 × 1,215.50
  4. Step 4: Simplify right side
    3,524.54x = 6,426,846.86
  5. Step 5: Solve for x
    x = 6,426,846.86/3,524.54
  6. Step 6: Final answer
    x = 1,823.46

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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.