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Finding the Fourth Proportional to 5,066.22, 6,992 and 2,970.36

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Solution

The fourth proportional to 5,066.22, 6,992 and 2,970.36 is: 4,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.22 : 6,992 = 2,970.36 : x
  2. Step 2: Convert to fraction form
    5,066.22/6,992 = 2,970.36/x
  3. Step 3: Cross multiply
    5,066.22x = 6,992 × 2,970.36
  4. Step 4: Simplify right side
    5,066.22x = 20,768,757.12
  5. Step 5: Solve for x
    x = 20,768,757.12/5,066.22
  6. Step 6: Final answer
    x = 4,099.46

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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.