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Finding the Fourth Proportional to 4,646.34, 6,411.87 and 2,550.42

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Solution

The fourth proportional to 4,646.34, 6,411.87 and 2,550.42 is: 3,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.34 : 6,411.87 = 2,550.42 : x
  2. Step 2: Convert to fraction form
    4,646.34/6,411.87 = 2,550.42/x
  3. Step 3: Cross multiply
    4,646.34x = 6,411.87 × 2,550.42
  4. Step 4: Simplify right side
    4,646.34x = 16,352,961.49
  5. Step 5: Solve for x
    x = 16,352,961.49/4,646.34
  6. Step 6: Final answer
    x = 3,519.54

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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.