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Finding the Fourth Proportional to 3,486.65, 4,811.70 and 1,994.83

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Solution

The fourth proportional to 3,486.65, 4,811.70 and 1,994.83 is: 2,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.65 : 4,811.70 = 1,994.83 : x
  2. Step 2: Convert to fraction form
    3,486.65/4,811.70 = 1,994.83/x
  3. Step 3: Cross multiply
    3,486.65x = 4,811.70 × 1,994.83
  4. Step 4: Simplify right side
    3,486.65x = 9,598,518.96
  5. Step 5: Solve for x
    x = 9,598,518.96/3,486.65
  6. Step 6: Final answer
    x = 2,752.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.