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Finding the Fourth Proportional to 5,283.12, 7,928.64 and 2,363.28

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Solution

The fourth proportional to 5,283.12, 7,928.64 and 2,363.28 is: 3,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.12 : 7,928.64 = 2,363.28 : x
  2. Step 2: Convert to fraction form
    5,283.12/7,928.64 = 2,363.28/x
  3. Step 3: Cross multiply
    5,283.12x = 7,928.64 × 2,363.28
  4. Step 4: Simplify right side
    5,283.12x = 18,737,596.34
  5. Step 5: Solve for x
    x = 18,737,596.34/5,283.12
  6. Step 6: Final answer
    x = 3,546.69

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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.