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Finding the Fourth Proportional to 5,308.92, 7,960.65 and 2,384.72

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Solution

The fourth proportional to 5,308.92, 7,960.65 and 2,384.72 is: 3,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.92 : 7,960.65 = 2,384.72 : x
  2. Step 2: Convert to fraction form
    5,308.92/7,960.65 = 2,384.72/x
  3. Step 3: Cross multiply
    5,308.92x = 7,960.65 × 2,384.72
  4. Step 4: Simplify right side
    5,308.92x = 18,983,881.46
  5. Step 5: Solve for x
    x = 18,983,881.46/5,308.92
  6. Step 6: Final answer
    x = 3,575.85

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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.