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Finding the Fourth Proportional to 2,968.52, 4,472.82 and 2,459.84

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Solution

The fourth proportional to 2,968.52, 4,472.82 and 2,459.84 is: 3,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.52 : 4,472.82 = 2,459.84 : x
  2. Step 2: Convert to fraction form
    2,968.52/4,472.82 = 2,459.84/x
  3. Step 3: Cross multiply
    2,968.52x = 4,472.82 × 2,459.84
  4. Step 4: Simplify right side
    2,968.52x = 11,002,421.55
  5. Step 5: Solve for x
    x = 11,002,421.55/2,968.52
  6. Step 6: Final answer
    x = 3,706.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.