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Finding the Fourth Proportional to 5,077.14, 7,578.93 and 4,388.24

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Solution

The fourth proportional to 5,077.14, 7,578.93 and 4,388.24 is: 6,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.14 : 7,578.93 = 4,388.24 : x
  2. Step 2: Convert to fraction form
    5,077.14/7,578.93 = 4,388.24/x
  3. Step 3: Cross multiply
    5,077.14x = 7,578.93 × 4,388.24
  4. Step 4: Simplify right side
    5,077.14x = 33,258,125.89
  5. Step 5: Solve for x
    x = 33,258,125.89/5,077.14
  6. Step 6: Final answer
    x = 6,550.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.