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Finding the Fourth Proportional to 5,934.82, 8,905.32 and 4,304.82

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Solution

The fourth proportional to 5,934.82, 8,905.32 and 4,304.82 is: 6,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.82 : 8,905.32 = 4,304.82 : x
  2. Step 2: Convert to fraction form
    5,934.82/8,905.32 = 4,304.82/x
  3. Step 3: Cross multiply
    5,934.82x = 8,905.32 × 4,304.82
  4. Step 4: Simplify right side
    5,934.82x = 38,335,810.40
  5. Step 5: Solve for x
    x = 38,335,810.40/5,934.82
  6. Step 6: Final answer
    x = 6,459.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.