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Finding the Fourth Proportional to 4,993.56, 7,494.08 and 1,876.64

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Solution

The fourth proportional to 4,993.56, 7,494.08 and 1,876.64 is: 2,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.56 : 7,494.08 = 1,876.64 : x
  2. Step 2: Convert to fraction form
    4,993.56/7,494.08 = 1,876.64/x
  3. Step 3: Cross multiply
    4,993.56x = 7,494.08 × 1,876.64
  4. Step 4: Simplify right side
    4,993.56x = 14,063,643.44
  5. Step 5: Solve for x
    x = 14,063,643.44/4,993.56
  6. Step 6: Final answer
    x = 2,816.36

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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.