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Finding the Fourth Proportional to 4,666.88, 6,440.38 and 2,677.62

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Solution

The fourth proportional to 4,666.88, 6,440.38 and 2,677.62 is: 3,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.88 : 6,440.38 = 2,677.62 : x
  2. Step 2: Convert to fraction form
    4,666.88/6,440.38 = 2,677.62/x
  3. Step 3: Cross multiply
    4,666.88x = 6,440.38 × 2,677.62
  4. Step 4: Simplify right side
    4,666.88x = 17,244,907.75
  5. Step 5: Solve for x
    x = 17,244,907.75/4,666.88
  6. Step 6: Final answer
    x = 3,695.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.