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Finding the Fourth Proportional to 3,288.47, 4,538.20 and 1,796.45

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Solution

The fourth proportional to 3,288.47, 4,538.20 and 1,796.45 is: 2,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.47 : 4,538.20 = 1,796.45 : x
  2. Step 2: Convert to fraction form
    3,288.47/4,538.20 = 1,796.45/x
  3. Step 3: Cross multiply
    3,288.47x = 4,538.20 × 1,796.45
  4. Step 4: Simplify right side
    3,288.47x = 8,152,649.39
  5. Step 5: Solve for x
    x = 8,152,649.39/3,288.47
  6. Step 6: Final answer
    x = 2,479.16

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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.