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Finding the Fourth Proportional to 4,180.08, 5,768.04 and 2,586

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Solution

The fourth proportional to 4,180.08, 5,768.04 and 2,586 is: 3,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.08 : 5,768.04 = 2,586 : x
  2. Step 2: Convert to fraction form
    4,180.08/5,768.04 = 2,586/x
  3. Step 3: Cross multiply
    4,180.08x = 5,768.04 × 2,586
  4. Step 4: Simplify right side
    4,180.08x = 14,916,151.44
  5. Step 5: Solve for x
    x = 14,916,151.44/4,180.08
  6. Step 6: Final answer
    x = 3,568.39

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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.