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Finding the Fourth Proportional to 4,940.30, 7,346.88 and 4,784.54

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Solution

The fourth proportional to 4,940.30, 7,346.88 and 4,784.54 is: 7,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.30 : 7,346.88 = 4,784.54 : x
  2. Step 2: Convert to fraction form
    4,940.30/7,346.88 = 4,784.54/x
  3. Step 3: Cross multiply
    4,940.30x = 7,346.88 × 4,784.54
  4. Step 4: Simplify right side
    4,940.30x = 35,151,441.24
  5. Step 5: Solve for x
    x = 35,151,441.24/4,940.30
  6. Step 6: Final answer
    x = 7,115.24

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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.