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Finding the Fourth Proportional to 5,403.88, 7,453.38 and 4,077.64

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Solution

The fourth proportional to 5,403.88, 7,453.38 and 4,077.64 is: 5,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.88 : 7,453.38 = 4,077.64 : x
  2. Step 2: Convert to fraction form
    5,403.88/7,453.38 = 4,077.64/x
  3. Step 3: Cross multiply
    5,403.88x = 7,453.38 × 4,077.64
  4. Step 4: Simplify right side
    5,403.88x = 30,392,200.42
  5. Step 5: Solve for x
    x = 30,392,200.42/5,403.88
  6. Step 6: Final answer
    x = 5,624.14

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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.