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Finding the Fourth Proportional to 5,246.64, 7,240.32 and 2,888.70

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Solution

The fourth proportional to 5,246.64, 7,240.32 and 2,888.70 is: 3,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.64 : 7,240.32 = 2,888.70 : x
  2. Step 2: Convert to fraction form
    5,246.64/7,240.32 = 2,888.70/x
  3. Step 3: Cross multiply
    5,246.64x = 7,240.32 × 2,888.70
  4. Step 4: Simplify right side
    5,246.64x = 20,915,112.38
  5. Step 5: Solve for x
    x = 20,915,112.38/5,246.64
  6. Step 6: Final answer
    x = 3,986.38

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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.