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Finding the Fourth Proportional to 3,903.24, 5,826.56 and 3,614.19

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Solution

The fourth proportional to 3,903.24, 5,826.56 and 3,614.19 is: 5,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.24 : 5,826.56 = 3,614.19 : x
  2. Step 2: Convert to fraction form
    3,903.24/5,826.56 = 3,614.19/x
  3. Step 3: Cross multiply
    3,903.24x = 5,826.56 × 3,614.19
  4. Step 4: Simplify right side
    3,903.24x = 21,058,276.82
  5. Step 5: Solve for x
    x = 21,058,276.82/3,903.24
  6. Step 6: Final answer
    x = 5,395.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.