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Finding the Fourth Proportional to 5,314, 7,333.32 and 3,106

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Solution

The fourth proportional to 5,314, 7,333.32 and 3,106 is: 4,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 7,333.32 = 3,106 : x
  2. Step 2: Convert to fraction form
    5,314/7,333.32 = 3,106/x
  3. Step 3: Cross multiply
    5,314x = 7,333.32 × 3,106
  4. Step 4: Simplify right side
    5,314x = 22,777,291.92
  5. Step 5: Solve for x
    x = 22,777,291.92/5,314
  6. Step 6: Final answer
    x = 4,286.28

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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.