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Finding the Fourth Proportional to 3,564, 5,348.16 and 1,512

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Solution

The fourth proportional to 3,564, 5,348.16 and 1,512 is: 2,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,348.16 = 1,512 : x
  2. Step 2: Convert to fraction form
    3,564/5,348.16 = 1,512/x
  3. Step 3: Cross multiply
    3,564x = 5,348.16 × 1,512
  4. Step 4: Simplify right side
    3,564x = 8,086,417.92
  5. Step 5: Solve for x
    x = 8,086,417.92/3,564
  6. Step 6: Final answer
    x = 2,268.92

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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.