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Finding the Fourth Proportional to 3,405.78, 5,109.48 and 1,097.28

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Solution

The fourth proportional to 3,405.78, 5,109.48 and 1,097.28 is: 1,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.78 : 5,109.48 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    3,405.78/5,109.48 = 1,097.28/x
  3. Step 3: Cross multiply
    3,405.78x = 5,109.48 × 1,097.28
  4. Step 4: Simplify right side
    3,405.78x = 5,606,530.21
  5. Step 5: Solve for x
    x = 5,606,530.21/3,405.78
  6. Step 6: Final answer
    x = 1,646.18

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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.