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Finding the Fourth Proportional to 3,465.28, 5,204.32 and 3,232.32

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Solution

The fourth proportional to 3,465.28, 5,204.32 and 3,232.32 is: 4,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.28 : 5,204.32 = 3,232.32 : x
  2. Step 2: Convert to fraction form
    3,465.28/5,204.32 = 3,232.32/x
  3. Step 3: Cross multiply
    3,465.28x = 5,204.32 × 3,232.32
  4. Step 4: Simplify right side
    3,465.28x = 16,822,027.62
  5. Step 5: Solve for x
    x = 16,822,027.62/3,465.28
  6. Step 6: Final answer
    x = 4,854.45

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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.