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Finding the Fourth Proportional to 5,872, 8,107.68 and 4,005.76

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Solution

The fourth proportional to 5,872, 8,107.68 and 4,005.76 is: 5,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 8,107.68 = 4,005.76 : x
  2. Step 2: Convert to fraction form
    5,872/8,107.68 = 4,005.76/x
  3. Step 3: Cross multiply
    5,872x = 8,107.68 × 4,005.76
  4. Step 4: Simplify right side
    5,872x = 32,477,420.24
  5. Step 5: Solve for x
    x = 32,477,420.24/5,872
  6. Step 6: Final answer
    x = 5,530.90

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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.