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Finding the Fourth Proportional to 3,655.84, 5,486.36 and 2,097.12

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Solution

The fourth proportional to 3,655.84, 5,486.36 and 2,097.12 is: 3,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.84 : 5,486.36 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    3,655.84/5,486.36 = 2,097.12/x
  3. Step 3: Cross multiply
    3,655.84x = 5,486.36 × 2,097.12
  4. Step 4: Simplify right side
    3,655.84x = 11,505,555.28
  5. Step 5: Solve for x
    x = 11,505,555.28/3,655.84
  6. Step 6: Final answer
    x = 3,147.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.