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Finding the Fourth Proportional to 6,460.96, 8,916.96 and 3,667.36

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Solution

The fourth proportional to 6,460.96, 8,916.96 and 3,667.36 is: 5,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.96 : 8,916.96 = 3,667.36 : x
  2. Step 2: Convert to fraction form
    6,460.96/8,916.96 = 3,667.36/x
  3. Step 3: Cross multiply
    6,460.96x = 8,916.96 × 3,667.36
  4. Step 4: Simplify right side
    6,460.96x = 32,701,702.43
  5. Step 5: Solve for x
    x = 32,701,702.43/6,460.96
  6. Step 6: Final answer
    x = 5,061.43

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Why These Related Problems?

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