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Finding the Fourth Proportional to 5,416.74, 7,479.33 and 4,155.78

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Solution

The fourth proportional to 5,416.74, 7,479.33 and 4,155.78 is: 5,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.74 : 7,479.33 = 4,155.78 : x
  2. Step 2: Convert to fraction form
    5,416.74/7,479.33 = 4,155.78/x
  3. Step 3: Cross multiply
    5,416.74x = 7,479.33 × 4,155.78
  4. Step 4: Simplify right side
    5,416.74x = 31,082,450.03
  5. Step 5: Solve for x
    x = 31,082,450.03/5,416.74
  6. Step 6: Final answer
    x = 5,738.22

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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.