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Finding the Fourth Proportional to 5,164.64, 7,099.76 and 4,444.20

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Solution

The fourth proportional to 5,164.64, 7,099.76 and 4,444.20 is: 6,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.64 : 7,099.76 = 4,444.20 : x
  2. Step 2: Convert to fraction form
    5,164.64/7,099.76 = 4,444.20/x
  3. Step 3: Cross multiply
    5,164.64x = 7,099.76 × 4,444.20
  4. Step 4: Simplify right side
    5,164.64x = 31,552,753.39
  5. Step 5: Solve for x
    x = 31,552,753.39/5,164.64
  6. Step 6: Final answer
    x = 6,109.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.