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Finding the Fourth Proportional to 3,208.47, 4,809.04 and 1,358.43

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Solution

The fourth proportional to 3,208.47, 4,809.04 and 1,358.43 is: 2,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.47 : 4,809.04 = 1,358.43 : x
  2. Step 2: Convert to fraction form
    3,208.47/4,809.04 = 1,358.43/x
  3. Step 3: Cross multiply
    3,208.47x = 4,809.04 × 1,358.43
  4. Step 4: Simplify right side
    3,208.47x = 6,532,744.21
  5. Step 5: Solve for x
    x = 6,532,744.21/3,208.47
  6. Step 6: Final answer
    x = 2,036.09

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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.