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Finding the Fourth Proportional to 3,411.39, 5,117.01 and 1,771.14

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Solution

The fourth proportional to 3,411.39, 5,117.01 and 1,771.14 is: 2,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.39 : 5,117.01 = 1,771.14 : x
  2. Step 2: Convert to fraction form
    3,411.39/5,117.01 = 1,771.14/x
  3. Step 3: Cross multiply
    3,411.39x = 5,117.01 × 1,771.14
  4. Step 4: Simplify right side
    3,411.39x = 9,062,941.09
  5. Step 5: Solve for x
    x = 9,062,941.09/3,411.39
  6. Step 6: Final answer
    x = 2,656.67

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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.