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Finding the Fourth Proportional to 5,294.22, 7,304.94 and 2,935.86

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Solution

The fourth proportional to 5,294.22, 7,304.94 and 2,935.86 is: 4,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.22 : 7,304.94 = 2,935.86 : x
  2. Step 2: Convert to fraction form
    5,294.22/7,304.94 = 2,935.86/x
  3. Step 3: Cross multiply
    5,294.22x = 7,304.94 × 2,935.86
  4. Step 4: Simplify right side
    5,294.22x = 21,446,281.15
  5. Step 5: Solve for x
    x = 21,446,281.15/5,294.22
  6. Step 6: Final answer
    x = 4,050.89

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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.