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Finding the Fourth Proportional to 4,904.42, 6,768 and 2,666.25

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Solution

The fourth proportional to 4,904.42, 6,768 and 2,666.25 is: 3,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.42 : 6,768 = 2,666.25 : x
  2. Step 2: Convert to fraction form
    4,904.42/6,768 = 2,666.25/x
  3. Step 3: Cross multiply
    4,904.42x = 6,768 × 2,666.25
  4. Step 4: Simplify right side
    4,904.42x = 18,045,180
  5. Step 5: Solve for x
    x = 18,045,180/4,904.42
  6. Step 6: Final answer
    x = 3,679.37

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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.