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Finding the Fourth Proportional to 6,554.56, 9,046.12 and 3,760

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Solution

The fourth proportional to 6,554.56, 9,046.12 and 3,760 is: 5,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.56 : 9,046.12 = 3,760 : x
  2. Step 2: Convert to fraction form
    6,554.56/9,046.12 = 3,760/x
  3. Step 3: Cross multiply
    6,554.56x = 9,046.12 × 3,760
  4. Step 4: Simplify right side
    6,554.56x = 34,013,411.20
  5. Step 5: Solve for x
    x = 34,013,411.20/6,554.56
  6. Step 6: Final answer
    x = 5,189.27

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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.