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Finding the Fourth Proportional to 5,549.56, 7,658.38 and 3,192.16

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Solution

The fourth proportional to 5,549.56, 7,658.38 and 3,192.16 is: 4,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.56 : 7,658.38 = 3,192.16 : x
  2. Step 2: Convert to fraction form
    5,549.56/7,658.38 = 3,192.16/x
  3. Step 3: Cross multiply
    5,549.56x = 7,658.38 × 3,192.16
  4. Step 4: Simplify right side
    5,549.56x = 24,446,774.30
  5. Step 5: Solve for x
    x = 24,446,774.30/5,549.56
  6. Step 6: Final answer
    x = 4,405.17

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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.