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Finding the Fourth Proportional to 5,901.90, 8,140.41 and 3,804

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Solution

The fourth proportional to 5,901.90, 8,140.41 and 3,804 is: 5,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.90 : 8,140.41 = 3,804 : x
  2. Step 2: Convert to fraction form
    5,901.90/8,140.41 = 3,804/x
  3. Step 3: Cross multiply
    5,901.90x = 8,140.41 × 3,804
  4. Step 4: Simplify right side
    5,901.90x = 30,966,119.64
  5. Step 5: Solve for x
    x = 30,966,119.64/5,901.90
  6. Step 6: Final answer
    x = 5,246.81

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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.