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Finding the Fourth Proportional to 3,726.95, 5,591.63 and 1,262.12

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Solution

The fourth proportional to 3,726.95, 5,591.63 and 1,262.12 is: 1,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.95 : 5,591.63 = 1,262.12 : x
  2. Step 2: Convert to fraction form
    3,726.95/5,591.63 = 1,262.12/x
  3. Step 3: Cross multiply
    3,726.95x = 5,591.63 × 1,262.12
  4. Step 4: Simplify right side
    3,726.95x = 7,057,283.25
  5. Step 5: Solve for x
    x = 7,057,283.25/3,726.95
  6. Step 6: Final answer
    x = 1,893.58

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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.