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Finding the Fourth Proportional to 5,577.24, 7,638 and 5,504.34

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Solution

The fourth proportional to 5,577.24, 7,638 and 5,504.34 is: 7,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.24 : 7,638 = 5,504.34 : x
  2. Step 2: Convert to fraction form
    5,577.24/7,638 = 5,504.34/x
  3. Step 3: Cross multiply
    5,577.24x = 7,638 × 5,504.34
  4. Step 4: Simplify right side
    5,577.24x = 42,042,148.92
  5. Step 5: Solve for x
    x = 42,042,148.92/5,577.24
  6. Step 6: Final answer
    x = 7,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.