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Finding the Fourth Proportional to 3,627.96, 5,442 and 1,030.96

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Solution

The fourth proportional to 3,627.96, 5,442 and 1,030.96 is: 1,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.96 : 5,442 = 1,030.96 : x
  2. Step 2: Convert to fraction form
    3,627.96/5,442 = 1,030.96/x
  3. Step 3: Cross multiply
    3,627.96x = 5,442 × 1,030.96
  4. Step 4: Simplify right side
    3,627.96x = 5,610,484.32
  5. Step 5: Solve for x
    x = 5,610,484.32/3,627.96
  6. Step 6: Final answer
    x = 1,546.46

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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.