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Finding the Fourth Proportional to 4,604.77, 6,347.89 and 3,186.29

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Solution

The fourth proportional to 4,604.77, 6,347.89 and 3,186.29 is: 4,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.77 : 6,347.89 = 3,186.29 : x
  2. Step 2: Convert to fraction form
    4,604.77/6,347.89 = 3,186.29/x
  3. Step 3: Cross multiply
    4,604.77x = 6,347.89 × 3,186.29
  4. Step 4: Simplify right side
    4,604.77x = 20,226,226.33
  5. Step 5: Solve for x
    x = 20,226,226.33/4,604.77
  6. Step 6: Final answer
    x = 4,392.45

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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.