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Finding the Fourth Proportional to 4,973.76, 6,866.64 and 3,207.96

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Solution

The fourth proportional to 4,973.76, 6,866.64 and 3,207.96 is: 4,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.76 : 6,866.64 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    4,973.76/6,866.64 = 3,207.96/x
  3. Step 3: Cross multiply
    4,973.76x = 6,866.64 × 3,207.96
  4. Step 4: Simplify right side
    4,973.76x = 22,027,906.45
  5. Step 5: Solve for x
    x = 22,027,906.45/4,973.76
  6. Step 6: Final answer
    x = 4,428.82

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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.