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Finding the Fourth Proportional to 4,932.18, 7,399.71 and 1,647.45

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Solution

The fourth proportional to 4,932.18, 7,399.71 and 1,647.45 is: 2,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.18 : 7,399.71 = 1,647.45 : x
  2. Step 2: Convert to fraction form
    4,932.18/7,399.71 = 1,647.45/x
  3. Step 3: Cross multiply
    4,932.18x = 7,399.71 × 1,647.45
  4. Step 4: Simplify right side
    4,932.18x = 12,190,652.24
  5. Step 5: Solve for x
    x = 12,190,652.24/4,932.18
  6. Step 6: Final answer
    x = 2,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.