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Finding the Fourth Proportional to 5,970.80, 8,958.72 and 3,196.76

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Solution

The fourth proportional to 5,970.80, 8,958.72 and 3,196.76 is: 4,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.80 : 8,958.72 = 3,196.76 : x
  2. Step 2: Convert to fraction form
    5,970.80/8,958.72 = 3,196.76/x
  3. Step 3: Cross multiply
    5,970.80x = 8,958.72 × 3,196.76
  4. Step 4: Simplify right side
    5,970.80x = 28,638,877.75
  5. Step 5: Solve for x
    x = 28,638,877.75/5,970.80
  6. Step 6: Final answer
    x = 4,796.49

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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.