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Finding the Fourth Proportional to 4,646.31, 6,412.05 and 2,550.48

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Solution

The fourth proportional to 4,646.31, 6,412.05 and 2,550.48 is: 3,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.31 : 6,412.05 = 2,550.48 : x
  2. Step 2: Convert to fraction form
    4,646.31/6,412.05 = 2,550.48/x
  3. Step 3: Cross multiply
    4,646.31x = 6,412.05 × 2,550.48
  4. Step 4: Simplify right side
    4,646.31x = 16,353,805.28
  5. Step 5: Solve for x
    x = 16,353,805.28/4,646.31
  6. Step 6: Final answer
    x = 3,519.74

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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.