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Finding the Fourth Proportional to 3,562.63, 5,337.54 and 2,101

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Solution

The fourth proportional to 3,562.63, 5,337.54 and 2,101 is: 3,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.63 : 5,337.54 = 2,101 : x
  2. Step 2: Convert to fraction form
    3,562.63/5,337.54 = 2,101/x
  3. Step 3: Cross multiply
    3,562.63x = 5,337.54 × 2,101
  4. Step 4: Simplify right side
    3,562.63x = 11,214,171.54
  5. Step 5: Solve for x
    x = 11,214,171.54/3,562.63
  6. Step 6: Final answer
    x = 3,147.72

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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.