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Finding the Fourth Proportional to 6,156.86, 8,496.08 and 3,638.40

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Solution

The fourth proportional to 6,156.86, 8,496.08 and 3,638.40 is: 5,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.86 : 8,496.08 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    6,156.86/8,496.08 = 3,638.40/x
  3. Step 3: Cross multiply
    6,156.86x = 8,496.08 × 3,638.40
  4. Step 4: Simplify right side
    6,156.86x = 30,912,137.47
  5. Step 5: Solve for x
    x = 30,912,137.47/6,156.86
  6. Step 6: Final answer
    x = 5,020.77

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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.