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Finding the Fourth Proportional to 4,612.76, 6,363.68 and 3,019.80

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Solution

The fourth proportional to 4,612.76, 6,363.68 and 3,019.80 is: 4,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.76 : 6,363.68 = 3,019.80 : x
  2. Step 2: Convert to fraction form
    4,612.76/6,363.68 = 3,019.80/x
  3. Step 3: Cross multiply
    4,612.76x = 6,363.68 × 3,019.80
  4. Step 4: Simplify right side
    4,612.76x = 19,217,048.41
  5. Step 5: Solve for x
    x = 19,217,048.41/4,612.76
  6. Step 6: Final answer
    x = 4,166.06

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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.