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Finding the Fourth Proportional to 4,762, 6,571.56 and 2,666.17

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Solution

The fourth proportional to 4,762, 6,571.56 and 2,666.17 is: 3,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 6,571.56 = 2,666.17 : x
  2. Step 2: Convert to fraction form
    4,762/6,571.56 = 2,666.17/x
  3. Step 3: Cross multiply
    4,762x = 6,571.56 × 2,666.17
  4. Step 4: Simplify right side
    4,762x = 17,520,896.13
  5. Step 5: Solve for x
    x = 17,520,896.13/4,762
  6. Step 6: Final answer
    x = 3,679.31

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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.