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Finding the Fourth Proportional to 5,723.78, 8,574.42 and 3,770.06

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Solution

The fourth proportional to 5,723.78, 8,574.42 and 3,770.06 is: 5,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.78 : 8,574.42 = 3,770.06 : x
  2. Step 2: Convert to fraction form
    5,723.78/8,574.42 = 3,770.06/x
  3. Step 3: Cross multiply
    5,723.78x = 8,574.42 × 3,770.06
  4. Step 4: Simplify right side
    5,723.78x = 32,326,077.87
  5. Step 5: Solve for x
    x = 32,326,077.87/5,723.78
  6. Step 6: Final answer
    x = 5,647.68

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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.