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Finding the Fourth Proportional to 4,048.52, 6,072.52 and 1,415.84

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Solution

The fourth proportional to 4,048.52, 6,072.52 and 1,415.84 is: 2,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.52 : 6,072.52 = 1,415.84 : x
  2. Step 2: Convert to fraction form
    4,048.52/6,072.52 = 1,415.84/x
  3. Step 3: Cross multiply
    4,048.52x = 6,072.52 × 1,415.84
  4. Step 4: Simplify right side
    4,048.52x = 8,597,716.72
  5. Step 5: Solve for x
    x = 8,597,716.72/4,048.52
  6. Step 6: Final answer
    x = 2,123.67

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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.