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Finding the Fourth Proportional to 4,646.51, 6,412.05 and 2,550.63

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Solution

The fourth proportional to 4,646.51, 6,412.05 and 2,550.63 is: 3,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.51 : 6,412.05 = 2,550.63 : x
  2. Step 2: Convert to fraction form
    4,646.51/6,412.05 = 2,550.63/x
  3. Step 3: Cross multiply
    4,646.51x = 6,412.05 × 2,550.63
  4. Step 4: Simplify right side
    4,646.51x = 16,354,767.09
  5. Step 5: Solve for x
    x = 16,354,767.09/4,646.51
  6. Step 6: Final answer
    x = 3,519.80

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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.