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Finding the Fourth Proportional to 4,901.82, 7,348.41 and 2,957.82

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Solution

The fourth proportional to 4,901.82, 7,348.41 and 2,957.82 is: 4,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.82 : 7,348.41 = 2,957.82 : x
  2. Step 2: Convert to fraction form
    4,901.82/7,348.41 = 2,957.82/x
  3. Step 3: Cross multiply
    4,901.82x = 7,348.41 × 2,957.82
  4. Step 4: Simplify right side
    4,901.82x = 21,735,274.07
  5. Step 5: Solve for x
    x = 21,735,274.07/4,901.82
  6. Step 6: Final answer
    x = 4,434.12

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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.