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Finding the Fourth Proportional to 4,967.37, 6,854.99 and 2,978.01

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Solution

The fourth proportional to 4,967.37, 6,854.99 and 2,978.01 is: 4,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.37 : 6,854.99 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    4,967.37/6,854.99 = 2,978.01/x
  3. Step 3: Cross multiply
    4,967.37x = 6,854.99 × 2,978.01
  4. Step 4: Simplify right side
    4,967.37x = 20,414,213.88
  5. Step 5: Solve for x
    x = 20,414,213.88/4,967.37
  6. Step 6: Final answer
    x = 4,109.66

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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.