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Finding the Fourth Proportional to 5,507.74, 7,606.98 and 3,627.72

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Solution

The fourth proportional to 5,507.74, 7,606.98 and 3,627.72 is: 5,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.74 : 7,606.98 = 3,627.72 : x
  2. Step 2: Convert to fraction form
    5,507.74/7,606.98 = 3,627.72/x
  3. Step 3: Cross multiply
    5,507.74x = 7,606.98 × 3,627.72
  4. Step 4: Simplify right side
    5,507.74x = 27,595,993.49
  5. Step 5: Solve for x
    x = 27,595,993.49/5,507.74
  6. Step 6: Final answer
    x = 5,010.40

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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.