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Finding the Fourth Proportional to 5,122.53, 7,678.94 and 2,928.24

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Solution

The fourth proportional to 5,122.53, 7,678.94 and 2,928.24 is: 4,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.53 : 7,678.94 = 2,928.24 : x
  2. Step 2: Convert to fraction form
    5,122.53/7,678.94 = 2,928.24/x
  3. Step 3: Cross multiply
    5,122.53x = 7,678.94 × 2,928.24
  4. Step 4: Simplify right side
    5,122.53x = 22,485,764.62
  5. Step 5: Solve for x
    x = 22,485,764.62/5,122.53
  6. Step 6: Final answer
    x = 4,389.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.