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Finding the Fourth Proportional to 5,772.44, 7,964.52 and 3,415.34

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Solution

The fourth proportional to 5,772.44, 7,964.52 and 3,415.34 is: 4,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.44 : 7,964.52 = 3,415.34 : x
  2. Step 2: Convert to fraction form
    5,772.44/7,964.52 = 3,415.34/x
  3. Step 3: Cross multiply
    5,772.44x = 7,964.52 × 3,415.34
  4. Step 4: Simplify right side
    5,772.44x = 27,201,543.74
  5. Step 5: Solve for x
    x = 27,201,543.74/5,772.44
  6. Step 6: Final answer
    x = 4,712.31

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1.5x scale

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.