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Finding the Fourth Proportional to 5,135.92, 7,702.69 and 1,438.41

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Solution

The fourth proportional to 5,135.92, 7,702.69 and 1,438.41 is: 2,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.92 : 7,702.69 = 1,438.41 : x
  2. Step 2: Convert to fraction form
    5,135.92/7,702.69 = 1,438.41/x
  3. Step 3: Cross multiply
    5,135.92x = 7,702.69 × 1,438.41
  4. Step 4: Simplify right side
    5,135.92x = 11,079,626.32
  5. Step 5: Solve for x
    x = 11,079,626.32/5,135.92
  6. Step 6: Final answer
    x = 2,157.28

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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.