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Finding the Fourth Proportional to 3,482, 4,789.80 and 3,339.92

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Solution

The fourth proportional to 3,482, 4,789.80 and 3,339.92 is: 4,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482 : 4,789.80 = 3,339.92 : x
  2. Step 2: Convert to fraction form
    3,482/4,789.80 = 3,339.92/x
  3. Step 3: Cross multiply
    3,482x = 4,789.80 × 3,339.92
  4. Step 4: Simplify right side
    3,482x = 15,997,548.82
  5. Step 5: Solve for x
    x = 15,997,548.82/3,482
  6. Step 6: Final answer
    x = 4,594.36

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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.