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Finding the Fourth Proportional to 3,642.70, 5,464.05 and 3,232.30

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Solution

The fourth proportional to 3,642.70, 5,464.05 and 3,232.30 is: 4,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.70 : 5,464.05 = 3,232.30 : x
  2. Step 2: Convert to fraction form
    3,642.70/5,464.05 = 3,232.30/x
  3. Step 3: Cross multiply
    3,642.70x = 5,464.05 × 3,232.30
  4. Step 4: Simplify right side
    3,642.70x = 17,661,448.82
  5. Step 5: Solve for x
    x = 17,661,448.82/3,642.70
  6. Step 6: Final answer
    x = 4,848.45

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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.