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Finding the Fourth Proportional to 5,074.50, 7,612.71 and 2,338.50

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Solution

The fourth proportional to 5,074.50, 7,612.71 and 2,338.50 is: 3,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.50 : 7,612.71 = 2,338.50 : x
  2. Step 2: Convert to fraction form
    5,074.50/7,612.71 = 2,338.50/x
  3. Step 3: Cross multiply
    5,074.50x = 7,612.71 × 2,338.50
  4. Step 4: Simplify right side
    5,074.50x = 17,802,322.34
  5. Step 5: Solve for x
    x = 17,802,322.34/5,074.50
  6. Step 6: Final answer
    x = 3,508.19

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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.