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Finding the Fourth Proportional to 4,994.29, 7,447.37 and 4,749.03

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Solution

The fourth proportional to 4,994.29, 7,447.37 and 4,749.03 is: 7,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.29 : 7,447.37 = 4,749.03 : x
  2. Step 2: Convert to fraction form
    4,994.29/7,447.37 = 4,749.03/x
  3. Step 3: Cross multiply
    4,994.29x = 7,447.37 × 4,749.03
  4. Step 4: Simplify right side
    4,994.29x = 35,367,783.55
  5. Step 5: Solve for x
    x = 35,367,783.55/4,994.29
  6. Step 6: Final answer
    x = 7,081.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.