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Finding the Fourth Proportional to 5,527.42, 7,627.99 and 3,009.64

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Solution

The fourth proportional to 5,527.42, 7,627.99 and 3,009.64 is: 4,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.42 : 7,627.99 = 3,009.64 : x
  2. Step 2: Convert to fraction form
    5,527.42/7,627.99 = 3,009.64/x
  3. Step 3: Cross multiply
    5,527.42x = 7,627.99 × 3,009.64
  4. Step 4: Simplify right side
    5,527.42x = 22,957,497.18
  5. Step 5: Solve for x
    x = 22,957,497.18/5,527.42
  6. Step 6: Final answer
    x = 4,153.38

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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.