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Finding the Fourth Proportional to 5,782.32, 8,687.75 and 3,703.23

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Solution

The fourth proportional to 5,782.32, 8,687.75 and 3,703.23 is: 5,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.32 : 8,687.75 = 3,703.23 : x
  2. Step 2: Convert to fraction form
    5,782.32/8,687.75 = 3,703.23/x
  3. Step 3: Cross multiply
    5,782.32x = 8,687.75 × 3,703.23
  4. Step 4: Simplify right side
    5,782.32x = 32,172,717.92
  5. Step 5: Solve for x
    x = 32,172,717.92/5,782.32
  6. Step 6: Final answer
    x = 5,563.98

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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.