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Finding the Fourth Proportional to 5,903.25, 8,146.26 and 3,385.47

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Solution

The fourth proportional to 5,903.25, 8,146.26 and 3,385.47 is: 4,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.25 : 8,146.26 = 3,385.47 : x
  2. Step 2: Convert to fraction form
    5,903.25/8,146.26 = 3,385.47/x
  3. Step 3: Cross multiply
    5,903.25x = 8,146.26 × 3,385.47
  4. Step 4: Simplify right side
    5,903.25x = 27,578,918.84
  5. Step 5: Solve for x
    x = 27,578,918.84/5,903.25
  6. Step 6: Final answer
    x = 4,671.82

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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.