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Finding the Fourth Proportional to 4,542.75, 6,815.49 and 2,046

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Solution

The fourth proportional to 4,542.75, 6,815.49 and 2,046 is: 3,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.75 : 6,815.49 = 2,046 : x
  2. Step 2: Convert to fraction form
    4,542.75/6,815.49 = 2,046/x
  3. Step 3: Cross multiply
    4,542.75x = 6,815.49 × 2,046
  4. Step 4: Simplify right side
    4,542.75x = 13,944,492.54
  5. Step 5: Solve for x
    x = 13,944,492.54/4,542.75
  6. Step 6: Final answer
    x = 3,069.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.