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Finding the Fourth Proportional to 3,415.65, 5,121.45 and 1,775.40

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Solution

The fourth proportional to 3,415.65, 5,121.45 and 1,775.40 is: 2,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.65 : 5,121.45 = 1,775.40 : x
  2. Step 2: Convert to fraction form
    3,415.65/5,121.45 = 1,775.40/x
  3. Step 3: Cross multiply
    3,415.65x = 5,121.45 × 1,775.40
  4. Step 4: Simplify right side
    3,415.65x = 9,092,622.33
  5. Step 5: Solve for x
    x = 9,092,622.33/3,415.65
  6. Step 6: Final answer
    x = 2,662.05

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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.