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Finding the Fourth Proportional to 5,094.58, 7,641.21 and 1,972.44

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Solution

The fourth proportional to 5,094.58, 7,641.21 and 1,972.44 is: 2,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.58 : 7,641.21 = 1,972.44 : x
  2. Step 2: Convert to fraction form
    5,094.58/7,641.21 = 1,972.44/x
  3. Step 3: Cross multiply
    5,094.58x = 7,641.21 × 1,972.44
  4. Step 4: Simplify right side
    5,094.58x = 15,071,847.36
  5. Step 5: Solve for x
    x = 15,071,847.36/5,094.58
  6. Step 6: Final answer
    x = 2,958.41

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1.5x scale

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.