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Finding the Fourth Proportional to 4,048.34, 6,072.39 and 1,415.79

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Solution

The fourth proportional to 4,048.34, 6,072.39 and 1,415.79 is: 2,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.34 : 6,072.39 = 1,415.79 : x
  2. Step 2: Convert to fraction form
    4,048.34/6,072.39 = 1,415.79/x
  3. Step 3: Cross multiply
    4,048.34x = 6,072.39 × 1,415.79
  4. Step 4: Simplify right side
    4,048.34x = 8,597,229.04
  5. Step 5: Solve for x
    x = 8,597,229.04/4,048.34
  6. Step 6: Final answer
    x = 2,123.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.