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Finding the Fourth Proportional to 4,776.92, 6,594.37 and 3,186.21

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Solution

The fourth proportional to 4,776.92, 6,594.37 and 3,186.21 is: 4,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.92 : 6,594.37 = 3,186.21 : x
  2. Step 2: Convert to fraction form
    4,776.92/6,594.37 = 3,186.21/x
  3. Step 3: Cross multiply
    4,776.92x = 6,594.37 × 3,186.21
  4. Step 4: Simplify right side
    4,776.92x = 21,011,039.67
  5. Step 5: Solve for x
    x = 21,011,039.67/4,776.92
  6. Step 6: Final answer
    x = 4,398.45

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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.