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Finding the Fourth Proportional to 4,994.24, 7,484.52 and 1,914.56

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Solution

The fourth proportional to 4,994.24, 7,484.52 and 1,914.56 is: 2,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.24 : 7,484.52 = 1,914.56 : x
  2. Step 2: Convert to fraction form
    4,994.24/7,484.52 = 1,914.56/x
  3. Step 3: Cross multiply
    4,994.24x = 7,484.52 × 1,914.56
  4. Step 4: Simplify right side
    4,994.24x = 14,329,562.61
  5. Step 5: Solve for x
    x = 14,329,562.61/4,994.24
  6. Step 6: Final answer
    x = 2,869.22

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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.