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Finding the Fourth Proportional to 4,626.53, 6,384.99 and 2,834.00

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Solution

The fourth proportional to 4,626.53, 6,384.99 and 2,834.00 is: 3,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.53 : 6,384.99 = 2,834.00 : x
  2. Step 2: Convert to fraction form
    4,626.53/6,384.99 = 2,834.00/x
  3. Step 3: Cross multiply
    4,626.53x = 6,384.99 × 2,834.00
  4. Step 4: Simplify right side
    4,626.53x = 18,095,029.74
  5. Step 5: Solve for x
    x = 18,095,029.74/4,626.53
  6. Step 6: Final answer
    x = 3,911.15

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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.