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Finding the Fourth Proportional to 3,290.32, 4,539.54 and 1,964.26

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Solution

The fourth proportional to 3,290.32, 4,539.54 and 1,964.26 is: 2,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.32 : 4,539.54 = 1,964.26 : x
  2. Step 2: Convert to fraction form
    3,290.32/4,539.54 = 1,964.26/x
  3. Step 3: Cross multiply
    3,290.32x = 4,539.54 × 1,964.26
  4. Step 4: Simplify right side
    3,290.32x = 8,916,836.84
  5. Step 5: Solve for x
    x = 8,916,836.84/3,290.32
  6. Step 6: Final answer
    x = 2,710.02

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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.