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Finding the Fourth Proportional to 4,636.36, 6,397.14 and 2,646.28

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Solution

The fourth proportional to 4,636.36, 6,397.14 and 2,646.28 is: 3,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.36 : 6,397.14 = 2,646.28 : x
  2. Step 2: Convert to fraction form
    4,636.36/6,397.14 = 2,646.28/x
  3. Step 3: Cross multiply
    4,636.36x = 6,397.14 × 2,646.28
  4. Step 4: Simplify right side
    4,636.36x = 16,928,623.64
  5. Step 5: Solve for x
    x = 16,928,623.64/4,636.36
  6. Step 6: Final answer
    x = 3,651.27

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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.