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Finding the Fourth Proportional to 3,292.46, 4,549.30 and 3,174.23

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Solution

The fourth proportional to 3,292.46, 4,549.30 and 3,174.23 is: 4,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.46 : 4,549.30 = 3,174.23 : x
  2. Step 2: Convert to fraction form
    3,292.46/4,549.30 = 3,174.23/x
  3. Step 3: Cross multiply
    3,292.46x = 4,549.30 × 3,174.23
  4. Step 4: Simplify right side
    3,292.46x = 14,440,509.38
  5. Step 5: Solve for x
    x = 14,440,509.38/3,292.46
  6. Step 6: Final answer
    x = 4,385.93

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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.