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Finding the Fourth Proportional to 3,654.16, 5,041.02 and 2,659

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Solution

The fourth proportional to 3,654.16, 5,041.02 and 2,659 is: 3,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.16 : 5,041.02 = 2,659 : x
  2. Step 2: Convert to fraction form
    3,654.16/5,041.02 = 2,659/x
  3. Step 3: Cross multiply
    3,654.16x = 5,041.02 × 2,659
  4. Step 4: Simplify right side
    3,654.16x = 13,404,072.18
  5. Step 5: Solve for x
    x = 13,404,072.18/3,654.16
  6. Step 6: Final answer
    x = 3,668.17

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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.