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Finding the Fourth Proportional to 5,159.50, 7,739.43 and 1,697.02

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Solution

The fourth proportional to 5,159.50, 7,739.43 and 1,697.02 is: 2,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.50 : 7,739.43 = 1,697.02 : x
  2. Step 2: Convert to fraction form
    5,159.50/7,739.43 = 1,697.02/x
  3. Step 3: Cross multiply
    5,159.50x = 7,739.43 × 1,697.02
  4. Step 4: Simplify right side
    5,159.50x = 13,133,967.50
  5. Step 5: Solve for x
    x = 13,133,967.50/5,159.50
  6. Step 6: Final answer
    x = 2,545.59

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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.