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Finding the Fourth Proportional to 5,159.52, 7,739.70 and 1,650.03

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Solution

The fourth proportional to 5,159.52, 7,739.70 and 1,650.03 is: 2,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.52 : 7,739.70 = 1,650.03 : x
  2. Step 2: Convert to fraction form
    5,159.52/7,739.70 = 1,650.03/x
  3. Step 3: Cross multiply
    5,159.52x = 7,739.70 × 1,650.03
  4. Step 4: Simplify right side
    5,159.52x = 12,770,737.19
  5. Step 5: Solve for x
    x = 12,770,737.19/5,159.52
  6. Step 6: Final answer
    x = 2,475.18

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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.