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Finding the Fourth Proportional to 4,801.68, 6,626.34 and 2,812.59

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Solution

The fourth proportional to 4,801.68, 6,626.34 and 2,812.59 is: 3,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.68 : 6,626.34 = 2,812.59 : x
  2. Step 2: Convert to fraction form
    4,801.68/6,626.34 = 2,812.59/x
  3. Step 3: Cross multiply
    4,801.68x = 6,626.34 × 2,812.59
  4. Step 4: Simplify right side
    4,801.68x = 18,637,177.62
  5. Step 5: Solve for x
    x = 18,637,177.62/4,801.68
  6. Step 6: Final answer
    x = 3,881.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.