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Finding the Fourth Proportional to 3,281.42, 4,529.04 and 3,177.38

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Solution

The fourth proportional to 3,281.42, 4,529.04 and 3,177.38 is: 4,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.42 : 4,529.04 = 3,177.38 : x
  2. Step 2: Convert to fraction form
    3,281.42/4,529.04 = 3,177.38/x
  3. Step 3: Cross multiply
    3,281.42x = 4,529.04 × 3,177.38
  4. Step 4: Simplify right side
    3,281.42x = 14,390,481.12
  5. Step 5: Solve for x
    x = 14,390,481.12/3,281.42
  6. Step 6: Final answer
    x = 4,385.44

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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.