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Finding the Fourth Proportional to 5,666.18, 7,819.38 and 3,427.64

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Solution

The fourth proportional to 5,666.18, 7,819.38 and 3,427.64 is: 4,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.18 : 7,819.38 = 3,427.64 : x
  2. Step 2: Convert to fraction form
    5,666.18/7,819.38 = 3,427.64/x
  3. Step 3: Cross multiply
    5,666.18x = 7,819.38 × 3,427.64
  4. Step 4: Simplify right side
    5,666.18x = 26,801,980.57
  5. Step 5: Solve for x
    x = 26,801,980.57/5,666.18
  6. Step 6: Final answer
    x = 4,730.17

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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.