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Finding the Fourth Proportional to 5,438.88, 7,514.88 and 4,505.76

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Solution

The fourth proportional to 5,438.88, 7,514.88 and 4,505.76 is: 6,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.88 : 7,514.88 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    5,438.88/7,514.88 = 4,505.76/x
  3. Step 3: Cross multiply
    5,438.88x = 7,514.88 × 4,505.76
  4. Step 4: Simplify right side
    5,438.88x = 33,860,245.71
  5. Step 5: Solve for x
    x = 33,860,245.71/5,438.88
  6. Step 6: Final answer
    x = 6,225.59

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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.