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Finding the Fourth Proportional to 5,462.49, 7,538 and 3,072.39

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Solution

The fourth proportional to 5,462.49, 7,538 and 3,072.39 is: 4,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.49 : 7,538 = 3,072.39 : x
  2. Step 2: Convert to fraction form
    5,462.49/7,538 = 3,072.39/x
  3. Step 3: Cross multiply
    5,462.49x = 7,538 × 3,072.39
  4. Step 4: Simplify right side
    5,462.49x = 23,159,675.82
  5. Step 5: Solve for x
    x = 23,159,675.82/5,462.49
  6. Step 6: Final answer
    x = 4,239.77

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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.