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Finding the Fourth Proportional to 4,655.69, 6,424.34 and 2,666.73

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Solution

The fourth proportional to 4,655.69, 6,424.34 and 2,666.73 is: 3,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.69 : 6,424.34 = 2,666.73 : x
  2. Step 2: Convert to fraction form
    4,655.69/6,424.34 = 2,666.73/x
  3. Step 3: Cross multiply
    4,655.69x = 6,424.34 × 2,666.73
  4. Step 4: Simplify right side
    4,655.69x = 17,131,966.87
  5. Step 5: Solve for x
    x = 17,131,966.87/4,655.69
  6. Step 6: Final answer
    x = 3,679.80

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