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Finding the Fourth Proportional to 5,158.95, 7,739.03 and 1,648

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Solution

The fourth proportional to 5,158.95, 7,739.03 and 1,648 is: 2,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.95 : 7,739.03 = 1,648 : x
  2. Step 2: Convert to fraction form
    5,158.95/7,739.03 = 1,648/x
  3. Step 3: Cross multiply
    5,158.95x = 7,739.03 × 1,648
  4. Step 4: Simplify right side
    5,158.95x = 12,753,921.44
  5. Step 5: Solve for x
    x = 12,753,921.44/5,158.95
  6. Step 6: Final answer
    x = 2,472.19

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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.