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Finding the Fourth Proportional to 6,502.82, 8,978.28 and 4,268.49

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Solution

The fourth proportional to 6,502.82, 8,978.28 and 4,268.49 is: 5,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.82 : 8,978.28 = 4,268.49 : x
  2. Step 2: Convert to fraction form
    6,502.82/8,978.28 = 4,268.49/x
  3. Step 3: Cross multiply
    6,502.82x = 8,978.28 × 4,268.49
  4. Step 4: Simplify right side
    6,502.82x = 38,323,698.40
  5. Step 5: Solve for x
    x = 38,323,698.40/6,502.82
  6. Step 6: Final answer
    x = 5,893.40

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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.