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Finding the Fourth Proportional to 3,361.65, 4,638.92 and 1,869.63

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Solution

The fourth proportional to 3,361.65, 4,638.92 and 1,869.63 is: 2,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.65 : 4,638.92 = 1,869.63 : x
  2. Step 2: Convert to fraction form
    3,361.65/4,638.92 = 1,869.63/x
  3. Step 3: Cross multiply
    3,361.65x = 4,638.92 × 1,869.63
  4. Step 4: Simplify right side
    3,361.65x = 8,673,054.65
  5. Step 5: Solve for x
    x = 8,673,054.65/3,361.65
  6. Step 6: Final answer
    x = 2,580.00

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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.