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Finding the Fourth Proportional to 3,652.36, 5,038.26 and 2,323.72

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Solution

The fourth proportional to 3,652.36, 5,038.26 and 2,323.72 is: 3,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.36 : 5,038.26 = 2,323.72 : x
  2. Step 2: Convert to fraction form
    3,652.36/5,038.26 = 2,323.72/x
  3. Step 3: Cross multiply
    3,652.36x = 5,038.26 × 2,323.72
  4. Step 4: Simplify right side
    3,652.36x = 11,707,505.53
  5. Step 5: Solve for x
    x = 11,707,505.53/3,652.36
  6. Step 6: Final answer
    x = 3,205.46

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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.