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Finding the Fourth Proportional to 5,402, 8,103.36 and 2,324

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Solution

The fourth proportional to 5,402, 8,103.36 and 2,324 is: 3,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 8,103.36 = 2,324 : x
  2. Step 2: Convert to fraction form
    5,402/8,103.36 = 2,324/x
  3. Step 3: Cross multiply
    5,402x = 8,103.36 × 2,324
  4. Step 4: Simplify right side
    5,402x = 18,832,208.64
  5. Step 5: Solve for x
    x = 18,832,208.64/5,402
  6. Step 6: Final answer
    x = 3,486.15

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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.