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Finding the Fourth Proportional to 5,402.56, 8,116.08 and 4,664.44

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Solution

The fourth proportional to 5,402.56, 8,116.08 and 4,664.44 is: 7,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.56 : 8,116.08 = 4,664.44 : x
  2. Step 2: Convert to fraction form
    5,402.56/8,116.08 = 4,664.44/x
  3. Step 3: Cross multiply
    5,402.56x = 8,116.08 × 4,664.44
  4. Step 4: Simplify right side
    5,402.56x = 37,856,968.20
  5. Step 5: Solve for x
    x = 37,856,968.20/5,402.56
  6. Step 6: Final answer
    x = 7,007.23

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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.