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Finding the Fourth Proportional to 3,433.88, 5,151.28 and 1,585.41

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Solution

The fourth proportional to 3,433.88, 5,151.28 and 1,585.41 is: 2,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.88 : 5,151.28 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    3,433.88/5,151.28 = 1,585.41/x
  3. Step 3: Cross multiply
    3,433.88x = 5,151.28 × 1,585.41
  4. Step 4: Simplify right side
    3,433.88x = 8,166,890.82
  5. Step 5: Solve for x
    x = 8,166,890.82/3,433.88
  6. Step 6: Final answer
    x = 2,378.33

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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.