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Finding the Fourth Proportional to 3,267.36, 4,902 and 1,536

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Solution

The fourth proportional to 3,267.36, 4,902 and 1,536 is: 2,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.36 : 4,902 = 1,536 : x
  2. Step 2: Convert to fraction form
    3,267.36/4,902 = 1,536/x
  3. Step 3: Cross multiply
    3,267.36x = 4,902 × 1,536
  4. Step 4: Simplify right side
    3,267.36x = 7,529,472
  5. Step 5: Solve for x
    x = 7,529,472/3,267.36
  6. Step 6: Final answer
    x = 2,304.45

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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.