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Finding the Fourth Proportional to 4,992.35, 6,889.37 and 2,977.16

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Solution

The fourth proportional to 4,992.35, 6,889.37 and 2,977.16 is: 4,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.35 : 6,889.37 = 2,977.16 : x
  2. Step 2: Convert to fraction form
    4,992.35/6,889.37 = 2,977.16/x
  3. Step 3: Cross multiply
    4,992.35x = 6,889.37 × 2,977.16
  4. Step 4: Simplify right side
    4,992.35x = 20,510,707.46
  5. Step 5: Solve for x
    x = 20,510,707.46/4,992.35
  6. Step 6: Final answer
    x = 4,108.43

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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.