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Finding the Fourth Proportional to 4,994.16, 7,486.92 and 1,914

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Solution

The fourth proportional to 4,994.16, 7,486.92 and 1,914 is: 2,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.16 : 7,486.92 = 1,914 : x
  2. Step 2: Convert to fraction form
    4,994.16/7,486.92 = 1,914/x
  3. Step 3: Cross multiply
    4,994.16x = 7,486.92 × 1,914
  4. Step 4: Simplify right side
    4,994.16x = 14,329,964.88
  5. Step 5: Solve for x
    x = 14,329,964.88/4,994.16
  6. Step 6: Final answer
    x = 2,869.34

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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.