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Finding the Fourth Proportional to 4,811.86, 7,216.54 and 1,524.98

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Solution

The fourth proportional to 4,811.86, 7,216.54 and 1,524.98 is: 2,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.86 : 7,216.54 = 1,524.98 : x
  2. Step 2: Convert to fraction form
    4,811.86/7,216.54 = 1,524.98/x
  3. Step 3: Cross multiply
    4,811.86x = 7,216.54 × 1,524.98
  4. Step 4: Simplify right side
    4,811.86x = 11,005,061.38
  5. Step 5: Solve for x
    x = 11,005,061.38/4,811.86
  6. Step 6: Final answer
    x = 2,287.07

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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.