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Finding the Fourth Proportional to 3,564.30, 4,911.93 and 3,097.74

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Solution

The fourth proportional to 3,564.30, 4,911.93 and 3,097.74 is: 4,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.30 : 4,911.93 = 3,097.74 : x
  2. Step 2: Convert to fraction form
    3,564.30/4,911.93 = 3,097.74/x
  3. Step 3: Cross multiply
    3,564.30x = 4,911.93 × 3,097.74
  4. Step 4: Simplify right side
    3,564.30x = 15,215,882.04
  5. Step 5: Solve for x
    x = 15,215,882.04/3,564.30
  6. Step 6: Final answer
    x = 4,268.97

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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.