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Finding the Fourth Proportional to 4,048.52, 6,072.30 and 1,415.60

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Solution

The fourth proportional to 4,048.52, 6,072.30 and 1,415.60 is: 2,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.52 : 6,072.30 = 1,415.60 : x
  2. Step 2: Convert to fraction form
    4,048.52/6,072.30 = 1,415.60/x
  3. Step 3: Cross multiply
    4,048.52x = 6,072.30 × 1,415.60
  4. Step 4: Simplify right side
    4,048.52x = 8,595,947.88
  5. Step 5: Solve for x
    x = 8,595,947.88/4,048.52
  6. Step 6: Final answer
    x = 2,123.23

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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.