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Finding the Fourth Proportional to 5,283.56, 7,927.57 and 2,320.48

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Solution

The fourth proportional to 5,283.56, 7,927.57 and 2,320.48 is: 3,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.56 : 7,927.57 = 2,320.48 : x
  2. Step 2: Convert to fraction form
    5,283.56/7,927.57 = 2,320.48/x
  3. Step 3: Cross multiply
    5,283.56x = 7,927.57 × 2,320.48
  4. Step 4: Simplify right side
    5,283.56x = 18,395,756.03
  5. Step 5: Solve for x
    x = 18,395,756.03/5,283.56
  6. Step 6: Final answer
    x = 3,481.70

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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.