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Finding the Fourth Proportional to 5,700.66, 8,538.93 and 3,619.56

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Solution

The fourth proportional to 5,700.66, 8,538.93 and 3,619.56 is: 5,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.66 : 8,538.93 = 3,619.56 : x
  2. Step 2: Convert to fraction form
    5,700.66/8,538.93 = 3,619.56/x
  3. Step 3: Cross multiply
    5,700.66x = 8,538.93 × 3,619.56
  4. Step 4: Simplify right side
    5,700.66x = 30,907,169.47
  5. Step 5: Solve for x
    x = 30,907,169.47/5,700.66
  6. Step 6: Final answer
    x = 5,421.68

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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.