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Finding the Fourth Proportional to 3,452.93, 5,174.77 and 1,259.59

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Solution

The fourth proportional to 3,452.93, 5,174.77 and 1,259.59 is: 1,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.93 : 5,174.77 = 1,259.59 : x
  2. Step 2: Convert to fraction form
    3,452.93/5,174.77 = 1,259.59/x
  3. Step 3: Cross multiply
    3,452.93x = 5,174.77 × 1,259.59
  4. Step 4: Simplify right side
    3,452.93x = 6,518,088.54
  5. Step 5: Solve for x
    x = 6,518,088.54/3,452.93
  6. Step 6: Final answer
    x = 1,887.70

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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.