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Finding the Fourth Proportional to 3,159.76, 4,739.64 and 2,064.64

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Solution

The fourth proportional to 3,159.76, 4,739.64 and 2,064.64 is: 3,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.76 : 4,739.64 = 2,064.64 : x
  2. Step 2: Convert to fraction form
    3,159.76/4,739.64 = 2,064.64/x
  3. Step 3: Cross multiply
    3,159.76x = 4,739.64 × 2,064.64
  4. Step 4: Simplify right side
    3,159.76x = 9,785,650.33
  5. Step 5: Solve for x
    x = 9,785,650.33/3,159.76
  6. Step 6: Final answer
    x = 3,096.96

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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.