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Finding the Fourth Proportional to 5,734.32, 8,601.74 and 1,574.24

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Solution

The fourth proportional to 5,734.32, 8,601.74 and 1,574.24 is: 2,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.32 : 8,601.74 = 1,574.24 : x
  2. Step 2: Convert to fraction form
    5,734.32/8,601.74 = 1,574.24/x
  3. Step 3: Cross multiply
    5,734.32x = 8,601.74 × 1,574.24
  4. Step 4: Simplify right side
    5,734.32x = 13,541,152.30
  5. Step 5: Solve for x
    x = 13,541,152.30/5,734.32
  6. Step 6: Final answer
    x = 2,361.42

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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.