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Finding the Fourth Proportional to 5,462.66, 7,538.23 and 3,072.59

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Solution

The fourth proportional to 5,462.66, 7,538.23 and 3,072.59 is: 4,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.66 : 7,538.23 = 3,072.59 : x
  2. Step 2: Convert to fraction form
    5,462.66/7,538.23 = 3,072.59/x
  3. Step 3: Cross multiply
    5,462.66x = 7,538.23 × 3,072.59
  4. Step 4: Simplify right side
    5,462.66x = 23,161,854.69
  5. Step 5: Solve for x
    x = 23,161,854.69/5,462.66
  6. Step 6: Final answer
    x = 4,240.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.