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Finding the Fourth Proportional to 4,602.81, 6,937.89 and 4,208.39

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Solution

The fourth proportional to 4,602.81, 6,937.89 and 4,208.39 is: 6,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.81 : 6,937.89 = 4,208.39 : x
  2. Step 2: Convert to fraction form
    4,602.81/6,937.89 = 4,208.39/x
  3. Step 3: Cross multiply
    4,602.81x = 6,937.89 × 4,208.39
  4. Step 4: Simplify right side
    4,602.81x = 29,197,346.90
  5. Step 5: Solve for x
    x = 29,197,346.90/4,602.81
  6. Step 6: Final answer
    x = 6,343.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.