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Finding the Fourth Proportional to 4,149.00, 6,223.84 and 1,683.99

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Solution

The fourth proportional to 4,149.00, 6,223.84 and 1,683.99 is: 2,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.00 : 6,223.84 = 1,683.99 : x
  2. Step 2: Convert to fraction form
    4,149.00/6,223.84 = 1,683.99/x
  3. Step 3: Cross multiply
    4,149.00x = 6,223.84 × 1,683.99
  4. Step 4: Simplify right side
    4,149.00x = 10,480,880.11
  5. Step 5: Solve for x
    x = 10,480,880.11/4,149.00
  6. Step 6: Final answer
    x = 2,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.