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Finding the Fourth Proportional to 4,968.99, 7,349.49 and 4,968.99

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Solution

The fourth proportional to 4,968.99, 7,349.49 and 4,968.99 is: 7,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.99 : 7,349.49 = 4,968.99 : x
  2. Step 2: Convert to fraction form
    4,968.99/7,349.49 = 4,968.99/x
  3. Step 3: Cross multiply
    4,968.99x = 7,349.49 × 4,968.99
  4. Step 4: Simplify right side
    4,968.99x = 36,519,542.32
  5. Step 5: Solve for x
    x = 36,519,542.32/4,968.99
  6. Step 6: Final answer
    x = 7,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.