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Finding the Fourth Proportional to 3,362.64, 5,048.16 and 2,271.84

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Solution

The fourth proportional to 3,362.64, 5,048.16 and 2,271.84 is: 3,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.64 : 5,048.16 = 2,271.84 : x
  2. Step 2: Convert to fraction form
    3,362.64/5,048.16 = 2,271.84/x
  3. Step 3: Cross multiply
    3,362.64x = 5,048.16 × 2,271.84
  4. Step 4: Simplify right side
    3,362.64x = 11,468,611.81
  5. Step 5: Solve for x
    x = 11,468,611.81/3,362.64
  6. Step 6: Final answer
    x = 3,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.