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Finding the Fourth Proportional to 4,014.54, 6,021.85 and 1,415.65

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Solution

The fourth proportional to 4,014.54, 6,021.85 and 1,415.65 is: 2,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.54 : 6,021.85 = 1,415.65 : x
  2. Step 2: Convert to fraction form
    4,014.54/6,021.85 = 1,415.65/x
  3. Step 3: Cross multiply
    4,014.54x = 6,021.85 × 1,415.65
  4. Step 4: Simplify right side
    4,014.54x = 8,524,831.95
  5. Step 5: Solve for x
    x = 8,524,831.95/4,014.54
  6. Step 6: Final answer
    x = 2,123.49

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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.