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Finding the Fourth Proportional to 3,970.32, 5,483.32 and 3,096.56

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Solution

The fourth proportional to 3,970.32, 5,483.32 and 3,096.56 is: 4,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.32 : 5,483.32 = 3,096.56 : x
  2. Step 2: Convert to fraction form
    3,970.32/5,483.32 = 3,096.56/x
  3. Step 3: Cross multiply
    3,970.32x = 5,483.32 × 3,096.56
  4. Step 4: Simplify right side
    3,970.32x = 16,979,429.38
  5. Step 5: Solve for x
    x = 16,979,429.38/3,970.32
  6. Step 6: Final answer
    x = 4,276.59

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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.