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Finding the Fourth Proportional to 5,896.53, 8,846.24 and 1,948.04

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Solution

The fourth proportional to 5,896.53, 8,846.24 and 1,948.04 is: 2,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.53 : 8,846.24 = 1,948.04 : x
  2. Step 2: Convert to fraction form
    5,896.53/8,846.24 = 1,948.04/x
  3. Step 3: Cross multiply
    5,896.53x = 8,846.24 × 1,948.04
  4. Step 4: Simplify right side
    5,896.53x = 17,232,829.37
  5. Step 5: Solve for x
    x = 17,232,829.37/5,896.53
  6. Step 6: Final answer
    x = 2,922.54

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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.