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Finding the Fourth Proportional to 5,880.32, 8,822.64 and 4,238.72

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Solution

The fourth proportional to 5,880.32, 8,822.64 and 4,238.72 is: 6,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.32 : 8,822.64 = 4,238.72 : x
  2. Step 2: Convert to fraction form
    5,880.32/8,822.64 = 4,238.72/x
  3. Step 3: Cross multiply
    5,880.32x = 8,822.64 × 4,238.72
  4. Step 4: Simplify right side
    5,880.32x = 37,396,700.62
  5. Step 5: Solve for x
    x = 37,396,700.62/5,880.32
  6. Step 6: Final answer
    x = 6,359.64

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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.