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Finding the Fourth Proportional to 4,808.08, 6,646.44 and 3,422.80

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Solution

The fourth proportional to 4,808.08, 6,646.44 and 3,422.80 is: 4,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.08 : 6,646.44 = 3,422.80 : x
  2. Step 2: Convert to fraction form
    4,808.08/6,646.44 = 3,422.80/x
  3. Step 3: Cross multiply
    4,808.08x = 6,646.44 × 3,422.80
  4. Step 4: Simplify right side
    4,808.08x = 22,749,434.83
  5. Step 5: Solve for x
    x = 22,749,434.83/4,808.08
  6. Step 6: Final answer
    x = 4,731.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.