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Finding the Fourth Proportional to 3,407.60, 5,107.66 and 1,943.52

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Solution

The fourth proportional to 3,407.60, 5,107.66 and 1,943.52 is: 2,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.60 : 5,107.66 = 1,943.52 : x
  2. Step 2: Convert to fraction form
    3,407.60/5,107.66 = 1,943.52/x
  3. Step 3: Cross multiply
    3,407.60x = 5,107.66 × 1,943.52
  4. Step 4: Simplify right side
    3,407.60x = 9,926,839.36
  5. Step 5: Solve for x
    x = 9,926,839.36/3,407.60
  6. Step 6: Final answer
    x = 2,913.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.