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Finding the Fourth Proportional to 8,958.40, 13,436.32 and 2,384

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Solution

The fourth proportional to 8,958.40, 13,436.32 and 2,384 is: 3,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,958.40 : 13,436.32 = 2,384 : x
  2. Step 2: Convert to fraction form
    8,958.40/13,436.32 = 2,384/x
  3. Step 3: Cross multiply
    8,958.40x = 13,436.32 × 2,384
  4. Step 4: Simplify right side
    8,958.40x = 32,032,186.88
  5. Step 5: Solve for x
    x = 32,032,186.88/8,958.40
  6. Step 6: Final answer
    x = 3,575.66

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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.