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Finding the Fourth Proportional to 5,495.88, 7,584.74 and 3,138.76

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Solution

The fourth proportional to 5,495.88, 7,584.74 and 3,138.76 is: 4,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.88 : 7,584.74 = 3,138.76 : x
  2. Step 2: Convert to fraction form
    5,495.88/7,584.74 = 3,138.76/x
  3. Step 3: Cross multiply
    5,495.88x = 7,584.74 × 3,138.76
  4. Step 4: Simplify right side
    5,495.88x = 23,806,678.52
  5. Step 5: Solve for x
    x = 23,806,678.52/5,495.88
  6. Step 6: Final answer
    x = 4,331.73

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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.