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Finding the Fourth Proportional to 5,945.76, 8,921.70 and 2,829.30

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Solution

The fourth proportional to 5,945.76, 8,921.70 and 2,829.30 is: 4,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.76 : 8,921.70 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    5,945.76/8,921.70 = 2,829.30/x
  3. Step 3: Cross multiply
    5,945.76x = 8,921.70 × 2,829.30
  4. Step 4: Simplify right side
    5,945.76x = 25,242,165.81
  5. Step 5: Solve for x
    x = 25,242,165.81/5,945.76
  6. Step 6: Final answer
    x = 4,245.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.