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Finding the Fourth Proportional to 6,290.78, 8,682.35 and 3,774.92

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Solution

The fourth proportional to 6,290.78, 8,682.35 and 3,774.92 is: 5,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.78 : 8,682.35 = 3,774.92 : x
  2. Step 2: Convert to fraction form
    6,290.78/8,682.35 = 3,774.92/x
  3. Step 3: Cross multiply
    6,290.78x = 8,682.35 × 3,774.92
  4. Step 4: Simplify right side
    6,290.78x = 32,775,114.38
  5. Step 5: Solve for x
    x = 32,775,114.38/6,290.78
  6. Step 6: Final answer
    x = 5,210.03

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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.