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Finding the Fourth Proportional to 3,527.73, 5,291.64 and 930.69

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Solution

The fourth proportional to 3,527.73, 5,291.64 and 930.69 is: 1,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.73 : 5,291.64 = 930.69 : x
  2. Step 2: Convert to fraction form
    3,527.73/5,291.64 = 930.69/x
  3. Step 3: Cross multiply
    3,527.73x = 5,291.64 × 930.69
  4. Step 4: Simplify right side
    3,527.73x = 4,924,876.43
  5. Step 5: Solve for x
    x = 4,924,876.43/3,527.73
  6. Step 6: Final answer
    x = 1,396.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.