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Finding the Fourth Proportional to 3,438.15, 4,744.88 and 1,946.08

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Solution

The fourth proportional to 3,438.15, 4,744.88 and 1,946.08 is: 2,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.15 : 4,744.88 = 1,946.08 : x
  2. Step 2: Convert to fraction form
    3,438.15/4,744.88 = 1,946.08/x
  3. Step 3: Cross multiply
    3,438.15x = 4,744.88 × 1,946.08
  4. Step 4: Simplify right side
    3,438.15x = 9,233,916.07
  5. Step 5: Solve for x
    x = 9,233,916.07/3,438.15
  6. Step 6: Final answer
    x = 2,685.72

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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.