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Finding the Fourth Proportional to 5,218.66, 7,201.04 and 2,980.38

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Solution

The fourth proportional to 5,218.66, 7,201.04 and 2,980.38 is: 4,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.66 : 7,201.04 = 2,980.38 : x
  2. Step 2: Convert to fraction form
    5,218.66/7,201.04 = 2,980.38/x
  3. Step 3: Cross multiply
    5,218.66x = 7,201.04 × 2,980.38
  4. Step 4: Simplify right side
    5,218.66x = 21,461,835.60
  5. Step 5: Solve for x
    x = 21,461,835.60/5,218.66
  6. Step 6: Final answer
    x = 4,112.52

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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.