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Finding the Fourth Proportional to 3,696.98, 5,102.65 and 2,352.31

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Solution

The fourth proportional to 3,696.98, 5,102.65 and 2,352.31 is: 3,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.98 : 5,102.65 = 2,352.31 : x
  2. Step 2: Convert to fraction form
    3,696.98/5,102.65 = 2,352.31/x
  3. Step 3: Cross multiply
    3,696.98x = 5,102.65 × 2,352.31
  4. Step 4: Simplify right side
    3,696.98x = 12,003,014.62
  5. Step 5: Solve for x
    x = 12,003,014.62/3,696.98
  6. Step 6: Final answer
    x = 3,246.71

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1.5x scale

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.