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Finding the Fourth Proportional to 3,267.57, 4,902.08 and 1,535.25

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Solution

The fourth proportional to 3,267.57, 4,902.08 and 1,535.25 is: 2,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.57 : 4,902.08 = 1,535.25 : x
  2. Step 2: Convert to fraction form
    3,267.57/4,902.08 = 1,535.25/x
  3. Step 3: Cross multiply
    3,267.57x = 4,902.08 × 1,535.25
  4. Step 4: Simplify right side
    3,267.57x = 7,525,910.64
  5. Step 5: Solve for x
    x = 7,525,910.64/3,267.57
  6. Step 6: Final answer
    x = 2,303.21

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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.