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Finding the Fourth Proportional to 4,894.71, 7,342.08 and 3,440.37

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Solution

The fourth proportional to 4,894.71, 7,342.08 and 3,440.37 is: 5,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.71 : 7,342.08 = 3,440.37 : x
  2. Step 2: Convert to fraction form
    4,894.71/7,342.08 = 3,440.37/x
  3. Step 3: Cross multiply
    4,894.71x = 7,342.08 × 3,440.37
  4. Step 4: Simplify right side
    4,894.71x = 25,259,471.77
  5. Step 5: Solve for x
    x = 25,259,471.77/4,894.71
  6. Step 6: Final answer
    x = 5,160.57

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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.