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Finding the Fourth Proportional to 5,672.23, 8,509.02 and 1,512.37

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Solution

The fourth proportional to 5,672.23, 8,509.02 and 1,512.37 is: 2,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.23 : 8,509.02 = 1,512.37 : x
  2. Step 2: Convert to fraction form
    5,672.23/8,509.02 = 1,512.37/x
  3. Step 3: Cross multiply
    5,672.23x = 8,509.02 × 1,512.37
  4. Step 4: Simplify right side
    5,672.23x = 12,868,804.30
  5. Step 5: Solve for x
    x = 12,868,804.30/5,672.23
  6. Step 6: Final answer
    x = 2,268.74

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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.