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Finding the Fourth Proportional to 4,602, 6,349.18 and 2,809

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Solution

The fourth proportional to 4,602, 6,349.18 and 2,809 is: 3,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,349.18 = 2,809 : x
  2. Step 2: Convert to fraction form
    4,602/6,349.18 = 2,809/x
  3. Step 3: Cross multiply
    4,602x = 6,349.18 × 2,809
  4. Step 4: Simplify right side
    4,602x = 17,834,846.62
  5. Step 5: Solve for x
    x = 17,834,846.62/4,602
  6. Step 6: Final answer
    x = 3,875.46

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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.