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Finding the Fourth Proportional to 5,829.50, 8,687.99 and 5,820.23

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Solution

The fourth proportional to 5,829.50, 8,687.99 and 5,820.23 is: 8,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.50 : 8,687.99 = 5,820.23 : x
  2. Step 2: Convert to fraction form
    5,829.50/8,687.99 = 5,820.23/x
  3. Step 3: Cross multiply
    5,829.50x = 8,687.99 × 5,820.23
  4. Step 4: Simplify right side
    5,829.50x = 50,566,136.31
  5. Step 5: Solve for x
    x = 50,566,136.31/5,829.50
  6. Step 6: Final answer
    x = 8,674.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.