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Finding the Fourth Proportional to 6,438, 8,884.68 and 3,643.44

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Solution

The fourth proportional to 6,438, 8,884.68 and 3,643.44 is: 5,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 8,884.68 = 3,643.44 : x
  2. Step 2: Convert to fraction form
    6,438/8,884.68 = 3,643.44/x
  3. Step 3: Cross multiply
    6,438x = 8,884.68 × 3,643.44
  4. Step 4: Simplify right side
    6,438x = 32,370,798.50
  5. Step 5: Solve for x
    x = 32,370,798.50/6,438
  6. Step 6: Final answer
    x = 5,028.08

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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.