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Finding the Fourth Proportional to 5,326.56, 7,349.81 and 2,968.38

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Solution

The fourth proportional to 5,326.56, 7,349.81 and 2,968.38 is: 4,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.56 : 7,349.81 = 2,968.38 : x
  2. Step 2: Convert to fraction form
    5,326.56/7,349.81 = 2,968.38/x
  3. Step 3: Cross multiply
    5,326.56x = 7,349.81 × 2,968.38
  4. Step 4: Simplify right side
    5,326.56x = 21,817,014.17
  5. Step 5: Solve for x
    x = 21,817,014.17/5,326.56
  6. Step 6: Final answer
    x = 4,095.89

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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.