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Finding the Fourth Proportional to 5,692, 7,849.56 and 3,704.08

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Solution

The fourth proportional to 5,692, 7,849.56 and 3,704.08 is: 5,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 7,849.56 = 3,704.08 : x
  2. Step 2: Convert to fraction form
    5,692/7,849.56 = 3,704.08/x
  3. Step 3: Cross multiply
    5,692x = 7,849.56 × 3,704.08
  4. Step 4: Simplify right side
    5,692x = 29,075,398.20
  5. Step 5: Solve for x
    x = 29,075,398.20/5,692
  6. Step 6: Final answer
    x = 5,108.12

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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.