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Finding the Fourth Proportional to 3,486.65, 4,813.83 and 2,424.06

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Solution

The fourth proportional to 3,486.65, 4,813.83 and 2,424.06 is: 3,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.65 : 4,813.83 = 2,424.06 : x
  2. Step 2: Convert to fraction form
    3,486.65/4,813.83 = 2,424.06/x
  3. Step 3: Cross multiply
    3,486.65x = 4,813.83 × 2,424.06
  4. Step 4: Simplify right side
    3,486.65x = 11,669,012.75
  5. Step 5: Solve for x
    x = 11,669,012.75/3,486.65
  6. Step 6: Final answer
    x = 3,346.77

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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.