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Finding the Fourth Proportional to 3,563.84, 5,348.06 and 1,921.53

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Solution

The fourth proportional to 3,563.84, 5,348.06 and 1,921.53 is: 2,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.84 : 5,348.06 = 1,921.53 : x
  2. Step 2: Convert to fraction form
    3,563.84/5,348.06 = 1,921.53/x
  3. Step 3: Cross multiply
    3,563.84x = 5,348.06 × 1,921.53
  4. Step 4: Simplify right side
    3,563.84x = 10,276,448.12
  5. Step 5: Solve for x
    x = 10,276,448.12/3,563.84
  6. Step 6: Final answer
    x = 2,883.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.