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Finding the Fourth Proportional to 4,913.49, 6,781.16 and 3,024.70

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Solution

The fourth proportional to 4,913.49, 6,781.16 and 3,024.70 is: 4,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.49 : 6,781.16 = 3,024.70 : x
  2. Step 2: Convert to fraction form
    4,913.49/6,781.16 = 3,024.70/x
  3. Step 3: Cross multiply
    4,913.49x = 6,781.16 × 3,024.70
  4. Step 4: Simplify right side
    4,913.49x = 20,510,965.26
  5. Step 5: Solve for x
    x = 20,510,965.26/4,913.49
  6. Step 6: Final answer
    x = 4,174.42

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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.