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Finding the Fourth Proportional to 3,417.70, 5,118.96 and 1,775.86

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Solution

The fourth proportional to 3,417.70, 5,118.96 and 1,775.86 is: 2,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.70 : 5,118.96 = 1,775.86 : x
  2. Step 2: Convert to fraction form
    3,417.70/5,118.96 = 1,775.86/x
  3. Step 3: Cross multiply
    3,417.70x = 5,118.96 × 1,775.86
  4. Step 4: Simplify right side
    3,417.70x = 9,090,556.31
  5. Step 5: Solve for x
    x = 9,090,556.31/3,417.70
  6. Step 6: Final answer
    x = 2,659.85

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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.