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Finding the Fourth Proportional to 5,286.46, 7,295.01 and 2,928.46

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Solution

The fourth proportional to 5,286.46, 7,295.01 and 2,928.46 is: 4,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.46 : 7,295.01 = 2,928.46 : x
  2. Step 2: Convert to fraction form
    5,286.46/7,295.01 = 2,928.46/x
  3. Step 3: Cross multiply
    5,286.46x = 7,295.01 × 2,928.46
  4. Step 4: Simplify right side
    5,286.46x = 21,363,144.98
  5. Step 5: Solve for x
    x = 21,363,144.98/5,286.46
  6. Step 6: Final answer
    x = 4,041.11

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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.