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Finding the Fourth Proportional to 3,451, 5,177.04 and 1,259.32

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Solution

The fourth proportional to 3,451, 5,177.04 and 1,259.32 is: 1,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451 : 5,177.04 = 1,259.32 : x
  2. Step 2: Convert to fraction form
    3,451/5,177.04 = 1,259.32/x
  3. Step 3: Cross multiply
    3,451x = 5,177.04 × 1,259.32
  4. Step 4: Simplify right side
    3,451x = 6,519,550.01
  5. Step 5: Solve for x
    x = 6,519,550.01/3,451
  6. Step 6: Final answer
    x = 1,889.18

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