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Finding the Fourth Proportional to 4,446.32, 6,665.80 and 2,592.88

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Solution

The fourth proportional to 4,446.32, 6,665.80 and 2,592.88 is: 3,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.32 : 6,665.80 = 2,592.88 : x
  2. Step 2: Convert to fraction form
    4,446.32/6,665.80 = 2,592.88/x
  3. Step 3: Cross multiply
    4,446.32x = 6,665.80 × 2,592.88
  4. Step 4: Simplify right side
    4,446.32x = 17,283,619.50
  5. Step 5: Solve for x
    x = 17,283,619.50/4,446.32
  6. Step 6: Final answer
    x = 3,887.17

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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.