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Finding the Fourth Proportional to 3,654.41, 5,041.68 and 2,309.63

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Solution

The fourth proportional to 3,654.41, 5,041.68 and 2,309.63 is: 3,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.41 : 5,041.68 = 2,309.63 : x
  2. Step 2: Convert to fraction form
    3,654.41/5,041.68 = 2,309.63/x
  3. Step 3: Cross multiply
    3,654.41x = 5,041.68 × 2,309.63
  4. Step 4: Simplify right side
    3,654.41x = 11,644,390.17
  5. Step 5: Solve for x
    x = 11,644,390.17/3,654.41
  6. Step 6: Final answer
    x = 3,186.40

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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.