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Finding the Fourth Proportional to 3,209.47, 4,810.54 and 1,359.43

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Solution

The fourth proportional to 3,209.47, 4,810.54 and 1,359.43 is: 2,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.47 : 4,810.54 = 1,359.43 : x
  2. Step 2: Convert to fraction form
    3,209.47/4,810.54 = 1,359.43/x
  3. Step 3: Cross multiply
    3,209.47x = 4,810.54 × 1,359.43
  4. Step 4: Simplify right side
    3,209.47x = 6,539,592.39
  5. Step 5: Solve for x
    x = 6,539,592.39/3,209.47
  6. Step 6: Final answer
    x = 2,037.59

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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.