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Finding the Fourth Proportional to 4,636.51, 6,398.42 and 2,540.71

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Solution

The fourth proportional to 4,636.51, 6,398.42 and 2,540.71 is: 3,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.51 : 6,398.42 = 2,540.71 : x
  2. Step 2: Convert to fraction form
    4,636.51/6,398.42 = 2,540.71/x
  3. Step 3: Cross multiply
    4,636.51x = 6,398.42 × 2,540.71
  4. Step 4: Simplify right side
    4,636.51x = 16,256,529.68
  5. Step 5: Solve for x
    x = 16,256,529.68/4,636.51
  6. Step 6: Final answer
    x = 3,506.20

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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.