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Finding the Fourth Proportional to 3,564.08, 5,346.14 and 1,921.40

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Solution

The fourth proportional to 3,564.08, 5,346.14 and 1,921.40 is: 2,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.08 : 5,346.14 = 1,921.40 : x
  2. Step 2: Convert to fraction form
    3,564.08/5,346.14 = 1,921.40/x
  3. Step 3: Cross multiply
    3,564.08x = 5,346.14 × 1,921.40
  4. Step 4: Simplify right side
    3,564.08x = 10,272,037.06
  5. Step 5: Solve for x
    x = 10,272,037.06/3,564.08
  6. Step 6: Final answer
    x = 2,882.10

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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.