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Finding the Fourth Proportional to 5,700.85, 8,549.89 and 1,805.29

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Solution

The fourth proportional to 5,700.85, 8,549.89 and 1,805.29 is: 2,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.85 : 8,549.89 = 1,805.29 : x
  2. Step 2: Convert to fraction form
    5,700.85/8,549.89 = 1,805.29/x
  3. Step 3: Cross multiply
    5,700.85x = 8,549.89 × 1,805.29
  4. Step 4: Simplify right side
    5,700.85x = 15,435,005.03
  5. Step 5: Solve for x
    x = 15,435,005.03/5,700.85
  6. Step 6: Final answer
    x = 2,707.49

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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.