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Finding the Fourth Proportional to 5,857.64, 8,085.04 and 4,065.24

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Solution

The fourth proportional to 5,857.64, 8,085.04 and 4,065.24 is: 5,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.64 : 8,085.04 = 4,065.24 : x
  2. Step 2: Convert to fraction form
    5,857.64/8,085.04 = 4,065.24/x
  3. Step 3: Cross multiply
    5,857.64x = 8,085.04 × 4,065.24
  4. Step 4: Simplify right side
    5,857.64x = 32,867,628.01
  5. Step 5: Solve for x
    x = 32,867,628.01/5,857.64
  6. Step 6: Final answer
    x = 5,611.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.