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Finding the Fourth Proportional to 5,132.94, 7,083.50 and 3,008

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Solution

The fourth proportional to 5,132.94, 7,083.50 and 3,008 is: 4,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.94 : 7,083.50 = 3,008 : x
  2. Step 2: Convert to fraction form
    5,132.94/7,083.50 = 3,008/x
  3. Step 3: Cross multiply
    5,132.94x = 7,083.50 × 3,008
  4. Step 4: Simplify right side
    5,132.94x = 21,307,168
  5. Step 5: Solve for x
    x = 21,307,168/5,132.94
  6. Step 6: Final answer
    x = 4,151.07

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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.