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Finding the Fourth Proportional to 4,425, 6,106.50 and 2,562.12

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Solution

The fourth proportional to 4,425, 6,106.50 and 2,562.12 is: 3,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425 : 6,106.50 = 2,562.12 : x
  2. Step 2: Convert to fraction form
    4,425/6,106.50 = 2,562.12/x
  3. Step 3: Cross multiply
    4,425x = 6,106.50 × 2,562.12
  4. Step 4: Simplify right side
    4,425x = 15,645,585.78
  5. Step 5: Solve for x
    x = 15,645,585.78/4,425
  6. Step 6: Final answer
    x = 3,535.73

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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.