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Finding the Fourth Proportional to 3,562.90, 5,338.02 and 2,175.58

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Solution

The fourth proportional to 3,562.90, 5,338.02 and 2,175.58 is: 3,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.90 : 5,338.02 = 2,175.58 : x
  2. Step 2: Convert to fraction form
    3,562.90/5,338.02 = 2,175.58/x
  3. Step 3: Cross multiply
    3,562.90x = 5,338.02 × 2,175.58
  4. Step 4: Simplify right side
    3,562.90x = 11,613,289.55
  5. Step 5: Solve for x
    x = 11,613,289.55/3,562.90
  6. Step 6: Final answer
    x = 3,259.50

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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.