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Finding the Fourth Proportional to 5,158.41, 7,739.79 and 1,648.68

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Solution

The fourth proportional to 5,158.41, 7,739.79 and 1,648.68 is: 2,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.41 : 7,739.79 = 1,648.68 : x
  2. Step 2: Convert to fraction form
    5,158.41/7,739.79 = 1,648.68/x
  3. Step 3: Cross multiply
    5,158.41x = 7,739.79 × 1,648.68
  4. Step 4: Simplify right side
    5,158.41x = 12,760,436.98
  5. Step 5: Solve for x
    x = 12,760,436.98/5,158.41
  6. Step 6: Final answer
    x = 2,473.72

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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.