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Finding the Fourth Proportional to 5,326.66, 7,351.14 and 2,968.87

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Solution

The fourth proportional to 5,326.66, 7,351.14 and 2,968.87 is: 4,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.66 : 7,351.14 = 2,968.87 : x
  2. Step 2: Convert to fraction form
    5,326.66/7,351.14 = 2,968.87/x
  3. Step 3: Cross multiply
    5,326.66x = 7,351.14 × 2,968.87
  4. Step 4: Simplify right side
    5,326.66x = 21,824,579.01
  5. Step 5: Solve for x
    x = 21,824,579.01/5,326.66
  6. Step 6: Final answer
    x = 4,097.24

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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.