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Finding the Fourth Proportional to 3,405.42, 5,103.88 and 1,924.54

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Solution

The fourth proportional to 3,405.42, 5,103.88 and 1,924.54 is: 2,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 5,103.88 = 1,924.54 : x
  2. Step 2: Convert to fraction form
    3,405.42/5,103.88 = 1,924.54/x
  3. Step 3: Cross multiply
    3,405.42x = 5,103.88 × 1,924.54
  4. Step 4: Simplify right side
    3,405.42x = 9,822,603.64
  5. Step 5: Solve for x
    x = 9,822,603.64/3,405.42
  6. Step 6: Final answer
    x = 2,884.40

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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.