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Finding the Fourth Proportional to 3,426.66, 5,133.14 and 1,575.24

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Solution

The fourth proportional to 3,426.66, 5,133.14 and 1,575.24 is: 2,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.66 : 5,133.14 = 1,575.24 : x
  2. Step 2: Convert to fraction form
    3,426.66/5,133.14 = 1,575.24/x
  3. Step 3: Cross multiply
    3,426.66x = 5,133.14 × 1,575.24
  4. Step 4: Simplify right side
    3,426.66x = 8,085,906.24
  5. Step 5: Solve for x
    x = 8,085,906.24/3,426.66
  6. Step 6: Final answer
    x = 2,359.70

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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.