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Finding the Fourth Proportional to 6,415.92, 8,850.60 and 4,320.72

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Solution

The fourth proportional to 6,415.92, 8,850.60 and 4,320.72 is: 5,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.92 : 8,850.60 = 4,320.72 : x
  2. Step 2: Convert to fraction form
    6,415.92/8,850.60 = 4,320.72/x
  3. Step 3: Cross multiply
    6,415.92x = 8,850.60 × 4,320.72
  4. Step 4: Simplify right side
    6,415.92x = 38,240,964.43
  5. Step 5: Solve for x
    x = 38,240,964.43/6,415.92
  6. Step 6: Final answer
    x = 5,960.32

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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.