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Finding the Fourth Proportional to 6,157.90, 8,497.54 and 3,640.24

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Solution

The fourth proportional to 6,157.90, 8,497.54 and 3,640.24 is: 5,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.90 : 8,497.54 = 3,640.24 : x
  2. Step 2: Convert to fraction form
    6,157.90/8,497.54 = 3,640.24/x
  3. Step 3: Cross multiply
    6,157.90x = 8,497.54 × 3,640.24
  4. Step 4: Simplify right side
    6,157.90x = 30,933,085.01
  5. Step 5: Solve for x
    x = 30,933,085.01/6,157.90
  6. Step 6: Final answer
    x = 5,023.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.