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Finding the Fourth Proportional to 5,538.40, 7,627.44 and 5,417.44

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Solution

The fourth proportional to 5,538.40, 7,627.44 and 5,417.44 is: 7,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.40 : 7,627.44 = 5,417.44 : x
  2. Step 2: Convert to fraction form
    5,538.40/7,627.44 = 5,417.44/x
  3. Step 3: Cross multiply
    5,538.40x = 7,627.44 × 5,417.44
  4. Step 4: Simplify right side
    5,538.40x = 41,321,198.55
  5. Step 5: Solve for x
    x = 41,321,198.55/5,538.40
  6. Step 6: Final answer
    x = 7,460.85

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1.5x scale

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.