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Finding the Fourth Proportional to 6,464.80, 8,920.80 and 3,670

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Solution

The fourth proportional to 6,464.80, 8,920.80 and 3,670 is: 5,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.80 : 8,920.80 = 3,670 : x
  2. Step 2: Convert to fraction form
    6,464.80/8,920.80 = 3,670/x
  3. Step 3: Cross multiply
    6,464.80x = 8,920.80 × 3,670
  4. Step 4: Simplify right side
    6,464.80x = 32,739,336.00
  5. Step 5: Solve for x
    x = 32,739,336.00/6,464.80
  6. Step 6: Final answer
    x = 5,064.25

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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.